Question

What is the slope of the line that passes through the points (-10, -8) and

(-8, -16)? Write your answer in simplest form.

Answer 1

(1,-4)

Explanation:

Remember this formula:

y2 - y1/x2-x1

Your two cordinates:

(-10,-8) and (-8,-16)

First do -16-(-8)

That should equal -8

Note: This is for the Y

Next do -8-(-10)

That should equal 2

Note: This is for the X

So now our slope is (2,-8)

If you want the simplest form:

Divide by (2,2)

So the answer shall be (1,-4).

Answer 2

Equation: y = -4x + 32

Slope: -4

Explanation:

Given : (-10,-8) and (-8, -16)

Slope Formula:
`(y_1 - y_2)/(x_1-x_2)`

Solve For Slope, Input Given Points:

• 
  `(-8 - (-16))/(-10 - (-8))`
• 
  `(8)/(-2)`
• 
  `-4`

Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

• y = -4x + b
• -8 = -10(4) + b
• -8 = -40 + b
• b = 32

Equation of LIne: y = -4x + 32

-Chetan K