Question

What is the slope of the line that passes through the points (-2,15) and (-8, -5)?

A) -10/3
B) -5/2
C) 5/2
D) 10/3

Answer 1

D. slope = 10 / 3

Explanation:

We have given two points.

(-2,15) and (-8, -5)

We have to find the slope of the line that passes through the given points.

Let (x₁,y₁) = (-2,15) and (x₂,y₂) = (-8, -5)

The formula to find the slope is:

Slope = m = y₂-y₁ / x₂-x₁

Putting the given values in above formula, we have

Slope = -5-15 / -8-(-2)

Slope = -20 / -8+2

Slope = -20 / -6

Slope = 20 / 6

Slope = 10 / 3

Hence, the slope of the line is 10/3 that passes through the points (-2,15) and (-8, -5).

Answer 2

The slope is
`(10)/(3)`

Explanation:

Let
`(x_1,y_1)=(-2,15)` and
`(x_2,y_2)=(-8,-5)`.

We calculate the slope using the formula;

`m=(y_2-y_1)/(x_2-x_1)`

We substitute the values into the formula to get;

`m=(-5-15)/(-8--2)`

`m=(-20)/(-6)`

`m=(10)/(3)`