A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answers

Answer 1

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]


Related Questions

What percent is equivalent to 14/25?

Answers

Answer:

56%

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

[tex]\frac{14}{25} = \frac{56}{100}[/tex]   15/100 = 56%

I hope this helps!

What is the range of the following numbers?
12, 20,18,25, 6
O A 5
OB. 164
O C. 18
O D. 19
O E. 25

Answers

D. 19 Hope this helps :)

Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.

Answers

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

-4 5/6 + (3 1/3) =
How dI you do this?

Answers

they should have common denominators so 1/3 turns into 2/6 and - 5/6 + 2/6 is -3/6 simplify that to -1/2 and -4 + 3 is -1 so the answer is -1 1/2

find the midpoint of the line segment joining the points. (6, -5), (6, 3)

Answers

Answer:

The mid point is (6,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3-5/2

6-6/2

-2/2=-1

0/2= 0

(-1,0)

A prism has 10 vertices.How many edges does it have?

Answers

15 edges, and 10 vertices.

Answer:

do you men triangular prism is 6 edges

5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

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Solve: 3(g − 2) = 8

Answers

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3

d) 48 + (6 + 2) =
Please help I am stupid at maths!

Answers

48+(6 + 2)

You first add the numbers in the parentheses so 6+2 =8

That leaves 48+8

The final answer would be 56

Hope this helped :)

Answer:

= 48 + 8

= 56

Step-by-step explanation:

hope its helps

good luck

Chase and sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. Determne If I were to buy 20 pieces of fudge and 20 pieces of bubble gum, it would cost me $

Answers

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Ellie ordered 3/4 of a pound of cheese from the deli. The deli has cheese slices that weigh 0.05 pounds each. Enter the number of cheese slices Ellie will receive.

Answers

Ellie will receive 15 slices of cheese.

If f(x) = -3x + 8
find f(0) = ?

Answers

I believe the answer is 8
Pls mark brainliest if correct
I think the answer would be 8 :)

how many triangles in the figure?
26
25
24
27

Answers

I keep getting 22 triangles

Pls answer for brainliest!

Answers

Answer:

h<2

Step-by-step explanation:

5×2h+5×8<60

10h+40<60

10h<60-40

10h<20

10. 10

h<2

Answer:

Step-by-step explanation:

5(2h + 8) < 60

10h + 40 < 60

10h < 30

h < 3

Some please help me!!! please I need it in 20 minutes!!!!

Answers

4. Acute triangle

5. Equilateral triangle

6. Right triangle

7. Acute triangle

8. Right triangle

9. Obtuse triangle

10. Obtuse triangle

11. Acute triangle

12. Acute triangle.

Those are all the answers I know. I'm pretty sure someone might do the rest.

4) Scalene Triangle
5) Equilateral Triangle
6) Isosceles Triangle
7) x= 93
8) x= 91
9)x=115
10)x= 115
11) x= 58
12)x= 75
13) x= 23
14) x= 51
15) x= 40

Can I get the brainliest !!
Thank you

2b^3+5=2(3)^3+5 when b=3

Answers

Answer:

59

Step-by-step explanation:

I got it right on I-Ready

The required simplified value of the given expression is 21.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here, given expression,
= 2b³+5

Now put b = 3
= 2(2)³ + 5
= 2(8) + 5    [since 2³ = 8]

= 16 + 5
= 21

Thus, the required simplified value of the given expression is 21.

Learn more about simplification here:

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Find the value of x. images attached

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

We have

[tex] \tan(26) = \frac{42}{x} \\ x \tan(26) = 42 \\ x = \frac{42}{ \tan(26) } \\ x = 86.1127613...[/tex]

We have the final answer as

86.113°

Hope this helps you

I think it’s A (I hope I’m not wrong)

What exponent should you use to represent the power of 10 below?
10,000,000 = 10?

Answers

Answer:

10^6

Step-by-step explanation:

Answer:

[tex]10 {}^{6 } = 10000000[/tex]

It helps you ☺️☺️

Thank you ☺️☺️

Layla read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

1/4 books per month.

Step-by-step explanation:

1 book in 4 months means you have to do 1 divided by 4 which equals .25. After converting to a fraction you get 1/4.

PLEASE HELP AND QUICK!!!

Answers

Answer:

A

Step-by-step explanation:

dude trust me

Solve the simultaneous equations.
You must show all your working.
2x+1/2y =13 ---its 1 devided by 2
3x +2y = 17​

Answers

Answer:

I hope it solve the problem

Need help (don’t give me inn correct answer and don’t comment if you don’t know)

Answers

Answer:

I believe that the answer is number 2

Step-by-step explanation:

Find the Highest Common Factor (HCF) of 196 and 12

Answers

Answer:

The greatest common factor is 4

Step-by-step explanation:

1.Find the prime factorization of 12

         a) 12 = 2 × 2 × 3

2.Find the prime factorization of 196

         a) 196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

          a)GCF=2x2

Therefore, GCF = 2 × 2

GCF = 4

The greatest common factor of the numbers 196 and 12 is 4.

What is the greatest common factor?

The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.

1. Find the prime factorization of 12

12 = 2 × 2 × 3

2. Find the prime factorization of 196

196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

GCF=2x2

GCF=4

Therefore, the greatest common factor of the numbers 196 and 12 is 4.

To know more about the greatest common factor follow

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I need help with this please

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.

Step-by-step explanation:

How do you write something in slope intercept form?

Answers

Answer:

Slope-intercept form is y=mx+b. You find the slope of the line and you plug that in for m. Then you find the y-intercept, which is where the line crosses the y-axis, and plug that in for b.

Step-by-step explanation:

HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   

PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane.

Answers

Answer:

i have no idea

dont spam "please answer" its not cool

will you guys help me with anything i need?


(don't listen about the subject for now i just need to know)

Answers

Answer:

Ummm yeah , i'm literally a nice person and a good listener .

Step-by-step explanation:

Can i pls have brainly ? <3

Answer:

yes

Step-by-step explanation:

hjoyybhfddsjjsjajajdhvdbenwkwq

Please I need some answers

Answers

Answer:

[tex]\sqrt{169}[/tex] = 13

[tex]\sqrt{36}[/tex] = 6

[tex]\sqrt{196}[/tex] = 14

Step-by-step explanation:

answer:

a) [tex]\sqrt{169}=13[/tex]

b) [tex]\sqrt{36}=6[/tex]

c) [tex]\sqrt{196}=14[/tex]

hope this helps :)  

-audrey <3

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