Find the equation of the line that goes through the points (4, –1) and (2, –5).
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
Write the equation in slope-intercept form, y = mx + b.

Answers

Answer 1

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.


Related Questions

The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?

Answers

Answer:

1152 diapers are needed

Step-by-step explanation:

2 dozen babies is equall to 24 babies

-(1 dozen is 12 babies)

If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers

Answer:1152

Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24

NUMBER OF DIPER A BABY WOULD NEED  IS 48

NUMBER OF BABIES IS 12*2 =24

THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152

help me
[tex] \: [/tex]

if mCE =100° ,mCA =110° and CR is a diameter find

mAR
mER

ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]

Answers

Step-by-step explanation:

#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°

the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?


A) organize the problem and find the question

B) solve the problem and change your strategy if necessary

C) write the facts, organize your thoughts and define your strategy

D) organize the step and underline the question​

Answers

that's the answer Just look at the picture's

How many cubic blocks of side length
inch would it take to fill a
rectangular prism with a length,
width, and height of inch,
inch, and inch, respectively?

Answers

Answer: inch cubic blocks

Step-by-step explanation:

bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)​

Answers

Answer:

1.2

Step-by-step explanation:

8.8 - 2.2 x 4 + 1.2

8.8 - 8.8 + 1.2

1.2

During second period, Bonnie completed a grammar worksheet. She got 18 out of 20 questions correct. What percentage did Bonnie get correct?

Answers

Answer:

90% correct

Step-by-step explanation:

You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!

2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate

which one?​

Answers

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

https://brainly.com/question/9165533

https://brainly.com/question/10605353

I am exhausted could someone pls help me 3(-2+-8+9)divided by 4

Answers

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

What is 1/6 to the power of 3

Answers

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

Exponents on fractions work like this:

[tex](\frac{x}{y} )^a=\frac{x^a}{y^a}[/tex]

Apply that to your problem:

[tex](\frac{1}{6} )^3\\\\\frac{1^3}{6^3} \\\\\frac{1}{216}[/tex]

Answer:

1/216

Step-by-step explanation:

1/6 x 1/6 is 1/36

1/36 x 1/6 is 1/216

Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128

Answers

Answer:

7

Step-by-step explanation:

If f (x) = -2x^2 + 3 then f (-3) =
1. -15
2. 21
3. 39
4. -18

Answers

Answer:

-15

Step-by-step explanation:

put f(-3)=-2*(-3)^2+3

PLSSSSS HELP MEEEEEE DUE TODAY!!!!!

Answers

Answer:

4/5 or .8

Step-by-step explanation:

use lagrange multipliers to find the maximum and minimum

Answers

i need more information

The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?

Answers

Answer:

10

Step-by-step explanation:

2 + 3 = 5

25/5 = 5

2 · 5 = 10

3 · 5 = 15

can i have help on this q plz

Answers

Answer:

No, they will need an additional £34 to stay the planned 10 nights.  

Step-by-step explanation:

Attached screenshot of a spreadsheet.

The cost for 10 nights for the 2 people is £100.

The tent site rental (over 10m^2) for 10 nights is £150.

Savings for the two over the 9 weeks is £216.

They will need an additional £34 to camp as planned.  

I suggest fibbing about the extra 0.5m^2 needed for the tent site.  That will reduce the bill by £30, so they are only £4 short.  Time to make a couple of friends.

6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?

Answers

Answer:

2/3

Step-by-step explanation:

Ab= 14
Co=8
OD=3
Find ob

Answers

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]

PLEASE SOMEONE EXPLAIN THIS I HAVE NO CLUE WHAT THIS MEANS OR WHAT THE ANSWER IS

What is the domain of this function?
(-3, -7)
(-8, 8)
(10, 1)
(9, 4)
(7,-4)
(-6, -9)

Answers

Answer:

-8,-6,-3,7,9,10

easy one - giving brainly if correct - show work.
answer as many as you can!​

Answers

Answer:

41. - 0.8

42. - 2.375

43. - 0.625

44. - 0.833

45. - 3.667

46. - 0.5

Step-by-step explanation:

Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.

1/5 = 0.2

1 - 0.2 = 0.8

1/4 = 0.25

1/8 = 0.125

1 + 1 = 2

0.25 + 0.125 = 0.375

2 + 0.375 = 2.375

3/8 = 0.375

1 - 0.375 = 0.625

2/3 = 0.667

1/2 = 0.5

4.5 - 3.667 = 0.833

1/2 = 0.5

1/6 = 0.167

2 + 1 = 3

0.5 + 0.167 = 0.667

3 + 0.667 = 3.667

1/4 = 0.25

0.25 x 2 = 0.5

Brainly?

9 4/5÷3 1/2 as a fraction

Answers

Answer:

14/5

Step-by-step explanation:

Answer:

2 4/5

Step-by-step explanation:

9 4/5÷3 1/2

Change mixed fractions into improper fractions.

9 4/5=49/5

3 1/2=7/2

Keep Change Flip

49/5 x 2/7 =14/5

=2 4/5

Hope this helps :)

This table shows the battery percentage of a phone after it
has been used for x hours.

When graphed, all of these points lie on the same line.

What is the y-intercept and slope of this line?

Drag an answer into each box.

Answers

Answer:

yint -= (0,100) slope = -5 2/3

Step-by-step explanation:

yint is (0,100) because thats where it hits the y axis

slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with

(83-66)/(3-6)

17/-3

-5 2/3

Answer:

slope -17/3 y -intercept  100

Step-by-step explanation:

what is the volume of the prism ?

Answers

Answer:

150 units squared

Step-by-step explanation:

Find the slope of each line.

Answers

Answer:

Step-by-step explanation:

There are 4 conditions that have to be met before you can declare what the slope is.

1. y has to be on one side of the equation.

2. y must have a coefficient of +1

3. the other side contains the x value. It can have any number as the slope which is in front of x.  

4. The value of the number by itself which is not connected to x or y can also be  any value including the irrational numbers.

Examples

y = 5x + 4

slope =  5

y intercept = 4

y = πx + sqrt(5)

slope = pi

y intercept = sqrt(5)

Answer to your question

slope = 7/5

y intercept = 5

What is the x-intercept of the line with this equation
8x-1/3y=16

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

You find the x-intercept by setting y=0 and solving for x.

  8x -1/3(0) = 16

  8x = 16

  x = 16/8 = 2

The x-intercept is 2.

_____

Additional comment

As you can see, the x-intercept is the ratio of the constant to the x-coefficient. The same is true for the y-intercept. It is 16/(-1/3) = -48.

Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.

Answers

Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat

35 hot dogs if she can keep up the same pace.

Step-by-step explanation: Hope I am right.

please I need help solving the equation, -2/5c < 9

Answers

Answer:

c > -22 1/2

Step-by-step explanation:

Step 1: Multiply both sides by -5/2 and flip the sign.

[tex]-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}[/tex]  [tex]c > -\frac{45}{2}[/tex]  [tex]c > -22\frac{1}{2}[/tex]

Therefore, the answer is c > -22 1/2.

Solve for the unknown variable:

Answers

Answer:

if it's a^2+b^2 question,the answer is 25.

Answer:

c =25

Step-by-step explanation:

a^2 + b^2 = c^2

15^2 +20^2 = c^2

625 =c^2

25=c

Help guys I need this right now lol I lose credit

Answers

Answer:

Answer Below

Step-by-step explanation:

7: Not congruent; Only one angle and only side is shown for each triangle

8: ASA; Two angles shown with a side put in-between

9: SSS; Should be self-explanatory (only sides are shown)

10: ASA; Angles with side shoved between

11: Not Congruent; Triangles are separated and only one side are shown

12: Not Congruent; Angles said to be congruent are on different angles

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answers

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

Find the unit rate for each problem.​

Answers

Answer:

1. 11 players per team

2. 60 miles per hour

3. 25 games per season

4. 60 words per minute

Step-by-step explanation:

1) 132 players divided by 12 teams = # of players per team

132/12 = 11 players per team

2) 240 miles divided by 4 hours = # of miles per hour

240/4 = 60 miles per hour

3) 125 games divided by 5 seasons = # of games per season

125/5 = 25 games per season

4) 180 words divided by 3 minutes = # of words per minute

180/3 = 60 words per minute

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