The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer 1

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

[tex]y=x-2[/tex]

Hope this helps!

Answer 2

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

What is the general equation of a straight line?

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

To solve more questions on straight line, visit the link below-

https://brainly.com/question/27730503

#SPJ2


Related Questions

Graph the inverse of each function

Please show work will give brainillest

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of the inverse of a function is its reflection in the line y=x. In the attached, that line is shown as a dashed yellow line. The inverse function is shown as a blue line.

__

One way to plot the inverse function of a line is to swap the x- and y-coordinates of the line's intercepts.

In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.

In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.

Answer:

In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.

In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.

Step-by-step explanation:

i got it right on edge

how are the triangles congruent ?

ASA , SSA , AAS , SAS , or Not enough information

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

1. (A) we know angle A is congruent to angle E

2. (A) angle B is congruent to D

3. (S) line BC is congruent to line DC

HELP MEEEE PLEASE if andrew walks 1.8 kilometers on monday night how many cm route is on the map?

Answers

Answer:

180000

Step-by-step explanation:

Each kilometer = 100,000 cm

That means 1.8 * 100,000 = 180,000 cm.

Based on your question. That should be the answer

9. Find the point of intersection of the lines: y = 4x + 1 and y = - 2x + 4 A. (2,9) B.(1/2,3) C. (1,2) D. (1/4,2)

Answers

Step-by-step explanation:

y = 4x + 1 and y = -2x + 4

4x + 1 = -2x + 4, 6x = 3, x = 0.5

When x = 0.5, y = 4(0.5) + 1 = 3.

The point of intersection is (0.5, 3). (B)

Step-by-step explanation:

y = 4x + 1

A.(2,9)

y = 4(2) + 1 = 9

y = 9.

y = 4x + 1

9 = 4x + 1

9 - 1 = 4x

8 = 4x => x = 8÷4 = 2

x = 2.

y = -2x + 4.

A.(2,9)

y = -2(2) + 4 = 0

y = 0.

y = - 2x + 4

0 = -2x + 4

0 - 4 = 2x

0 = 2x => x = 0 ÷ 2 = 0

x = 0.

y = 4x + 1

B.(1/2, 3)

y = 4(1/2) + 1

y = 4 ÷ 2 + 1 = 3

y = 3.

y = 4x + 1

3 = 4x + 1

3 - 1 = 4x

2 = 4x => x = 2 ÷ 4 = 1/2

x = 1/2.

y = - 2x + 4

B.(1/2, 3)

3 = - 2x + 4

3 - 4 = - 2x

- 1 = - 2x => x = 1/2

x = 1/2.

y = - 2x + 4

y = - 2(1/2) + 4

y = -2(0.5)+ 4

y = -1 + 4 = 3

y = 4x + 1

C.(1,2)

y = 4(1) + 1 = 5

y = 5.

y = 4x + 1

5 = 4x + 1

5 - 1 = 4x

4 = 4x => x = 4÷4 =1

x = 1.

y = -2x + 4

C.(1, 2)

y = - 2(1) + 4

y = - 2 + 4 = 2

y = 2.

2 = -2x + 4

2 - 4 = - 2x

- 2 = - 2x => x = 2÷2 = 1

x = 1.

y = 4x + 1

D.(1/4, 2)

y = 4(1/4) + 1

y = 4(0.25) + 1

y = 1 + 1 = 2

y = 2.

y = 4x + 1

2 = 4x + 1

2 - 1 = 4x

1 = 4x => x = 1/4

Point A is the point of intersection of the lines.

According to the table, how many students in the seventh grade bike to school?

Answers

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

At a certain high school, about one in every 12 students have natural red hair. If a teacher has 179 students, how many students would they expect to have red hair?​

Answers

Answer:

look up alaskan pipeline

Step-by-step explanation:

pls help me the tables shows the relationship between a number of movies tickets and cost which expression can be used to determine the constant proportionality? pls for 25 points

Answers

Answer:

H

Step-by-step explanation:

What is the percent of change of 25 when decreased to 18?

Answers

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

Tara has ridden her bike .5 miles and
rides 10 miles per hour. Felipe has
ridden his bike .25 miles and rides 15
miles per hour. For what number of
hours will-Tara have ridden less miles
than Felipe?

Answers

Answer:

0.5 hours

Step-by-step explanation:

Given that Tara has covered 0.50 miles and  rides with a speed of 10 miles/hour. Felipe has  covered bike 0.25 miles and rides with a speed of 15  miles/hour.

Tara has covered more distance while the speed of Felipe is more than the speed of Tara.

Assuming that in time t hour, Felipe reaches Tara, then Tara left behind as Felipe has faster speed.

So, after t hour, Felipe will be ahead of Tara and Tara will cover lesser miles than Felipe .

As distance = speed x time, so

So, the distance covered by Tara in [tex]t[/tex] hour = 10t miles and she already has covered 0.5 miles, so total distance covered by Tara [tex]= 0.5+10t[/tex] miles.

Similarly, the distance covered by Felipe in [tex]t[/tex] hour = 15t miles and he already has covered 0.25 miles, so the total distance covered by Tara [tex]= 0.25+15t[/tex] miles.

Therefore, at the time then Felipe reached Tara, both have covered the same distance, i.e

[tex]0.25+15t=0.5+10t \\\\\Rightarrow 15t-10t=0.5-0.25 \\\\\Rightarrow 5t=0.25 \\\\[/tex]

[tex]\Rightarrow t= 0.25/5=0.5[/tex] hour

Hence, after 0.5 hours Tara will cover lesser miles than Felipe .

Answer:

0.5 hours

Step-by-step explanation:

This is a test my sister made to see how smart I am plz help.

Answers

Answer:

16.) second choice: (5,-6)

17.) third choice: (-10) (-8) (-5) (0) (1)

18.) fourth choice: (.18) (0.4) (1/4) (227)

Evaluate 9/m + 4 when m= 3

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9/3 + 4

3 + 4 =

7

Determine the measure of ZUXW in the diagram.

66°
57°

The measure of LUXW is

Answers

Answer:

the measure of <UXW is 57°

If the perimeter of the surface of a cube is 12 metre,
then what is the volume of it?​

Answers

Answer:

A cube is a solid box whose every surface is a square of same area. ... So the volume of the box will be equal to the volume of 8 unit cubes together. ... The number of cubes are 12, its volume is 12 cu cm. 3. ... When we draw a flat shape on a paper, it occupies a certain ... It's unit is square centimeters or square meters etc.

Step-by-step explanation:

[tex]\\ jn j j j[/tex]

Answers

Answer:

glhIblzikdjbgjdzgbobrgbzoerbgoernbs

Step-by-step explanation:

ur welcome ;)

Answer:

njjjj

Step-by-step explanation:

some please help!! Not sure what to do from here

Answers

Answer:

for the top box put 18 and for the bottom put 1 1/3

Step-by-step explanation:

on the top boxes you are multiplying by 6 and for them bottom you are adding 1\3

Answer:

18. 24

1 1 and 1/3

Step-by-step explanation:

A=2.5
B=10
C=5
D=5 square root of 3

Answers

Answer:

B.

Step-by-step explanation:

Find two numbers that Multiply to -40 and add to 6

Answers

Reorder the terms: 6.25 + -5y + y^2 = -14 + 6.25

Combine like terms: -14 + 6.25 = -7.75 6.25 + -5y + y2 = -7.75

Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -7.75

Can't calculate square root of the right side (negative). The solution to this equation could not be determined.
X * y = -40
X + y = 6
I believe it would be -4 and 10

Solve the equation
56 ÷ (-8)= ?

Answers

Answer:

-7

Step-by-step explanation:

Because for dividing one positive and one negative number, the rule is that the answer is going to be negative. So, what you can do is just do 56÷8 which equals 7 then add the negative sign to make it -7.

What is the volume of this figure?

Answers

Answer:

The total volume of this 3D Figure is 944.

Step-by-step explanation:

The volume of:

1. The above figure is 400.

2. The bottom figure is 544.

3. Add the total volume of those 2 figures (400+544).

4. You have found the final answer!

Brainliest? Thanks!

Answer:

So the first part of this shape is 400 ft and the secound part of this shape is 544 ft. Hence, since want the whole shape volume your answer would be and always will be 944 ft.

Step-by-step explanation:

since i'm pretty good at math I well tell you how I got this answer in this qustion I seen that this figure is 3-dimensional meaning that we have height,length, and width ( there is two more and were not going to talk about it ) prove we got to time not 2 but 3 times and since this figure has 2 part we would need to brake it into and mutlply both parts (sepertly) to get the answer right so for the first part (or what on the top).

1st part

since the height is 5 ft. that is the first part of our equation,I see that the width must be 10 ft., which well be the second part of our equation, and i see the length is  8 ft so our equation is , 8x10x5 witch mean the first part of the figure is 400 ft

2nd part

since the height is 4 ft. this mean we have the first part of our equation,the width is 8 ft so that the second part of our equation,and I see the length is 17 ft., means this equation is 4x8x17 so this part of the figure is 544 ft.

The whole figure

So with are info from the first and second part of our equation we can now add both parts of the figures  means if we add both of them the answer would be 944 ft.

if you don't other stand  here a tip:In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width and height. Unlike two-dimensional shapes, three-dimensional shapes have thickness or depth.

brainliest pls and thank you this is was all hard work

Jim is having a Halloween party for 60 children. He will give each child at least one candy bar. If each bag of candy contains 12
candy bars, which inequality gives the minimum number of bags, b, Jim will need to buy?
Yes

Answers

Answer:

5 bags of candy

Step-by-step explanation:

60/12= 5

Since there are 12 pieces of candy in each bag, 12*5= 60, so each kid can have 1 piece of candy.

Answer:

5<b

Step-by-step explanation:

Need answer asappp!!!

Answers

it would be 5/12! hope this helped

I AM ON A TIMER!! HURRY PLEASE!!!!


What is the answer to this?



Answers

Answer:

(1,6) and (4,6)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

It's where the two lines cross, or where that black dot is.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

46.798 divided by 9.086

Answers

Answer:

5.1505613031

Step-by-step explanation:

hope it helps!

Answer:

5.1505613031

Step-by-step explanation:

Hope this helped have an amazing day!

how many solutions does the equation 3x-2x+4=2+x+2 have

Answers

2 for sureee
If not then sorry mate

Write the equation of the line that passes through the points (9, -2) and (4, 2). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

The equation of the line that passes through (9,-2)&(4,2) is

y=-4/5x+26/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-(-2)/4-9

m=4/-5

m=-4/5

y-y=m(x-x¹)

y-2=-4/5(x-4)

y-2=-4/5x+16/5

+2 +2

y=-4/5x+26/5

Which point is located at (4, 1)?
A
B
C
D

Answers

Answer:

A is located at (4,1)

Step-by-step explanation:

The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).

Hope this helps! ;)

Final Answer: Point A

Steps/Reasons/Explanation:

Question: Which point is located at [tex](4, 1)[/tex]?

The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.

For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.

For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.

~I hope I helped you :)~

A grocer wants to mix two kinds of coffee. One kind sells for $1.55 per pound, and the other sells for $2.80 per pound. He wants to mix a total of 19 pounds and sell it for $2.15 per pound. How many pounds of each kind should he use in the new mix

Answers

9.5 or 9 1/2 if you want them both to be an equal mix

Can someone help me fill in the ratio table please!!

Answers

Answer:

[tex]A[/tex] [tex]n[/tex] [tex]s[/tex] [tex]w[/tex] [tex]e[/tex] [tex]r[/tex] [tex]*[/tex] [tex]B[/tex] [tex]e[/tex] [tex]l[/tex] [tex]o[/tex] [tex]w[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]Orange[/tex] [tex]fabric[/tex] =       [tex]\frac{1}{3}[/tex]                [tex]\frac{2}{3}[/tex]                 [tex]\frac{3}{3}[/tex]                  [tex]\frac{4}{3}[/tex][tex]--------------------------------------------[/tex]

[tex]Yellow[/tex] [tex]fabric[/tex] =        [tex]\frac{8}{3}[/tex]               [tex]\frac{16}{3}[/tex]                [tex]\frac{24}{3}[/tex]                [tex]\frac{32}{3}[/tex][tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

A=7.5
B=30
C=15 square of 2
D= 15

Answers

I think the awnser is B=30

Mariana is choosing a beverage to drink. She wants a beverage with no more than 3 grams of sugar per ounce. Which beverages meet Mariana's requirements?

Answers

Answer:

Step-by-step explanation:

The main beverage that would easily meet Mariana's requirements would be water as it contains no sugar. Other than these two flavored options that she can choose from would be to make home-made Ice-tea or lemonade. Therefore, she can choose the amount of sugar to add without going over her own requirements, but still having a delicious beverage to drink.

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