Question

What is the slope of the line shown below?

A. 2
B. - 1/2
C. 1/2
D. -2

Answer 1

Tthe slope of the line will be: m = -2

Hence, option D is true.

Explanation:

Given the points

• (-2, 5)

• (3, -5)

Finding the slope between (-2, 5) and (3, -5)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-2,\:5\right),\:\left(x_2,\:y_2\right)=\left(3,\:-5\right)`

`m=(-5-5)/(3-\left(-2\right))`

`m=-2`

Therefore, the slope of the line will be: m = -2

Hence, option D is true.

Answer 2

Hi there.

The answer is D. - 2

Explanation:

We calculate the slope by using rise/run.

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

Our rise is (-2,5) and our run is (3,-5)

`m = ( 5 -( - 5 ))/( - 2 - 3) \\ m = ( 5 + 5)/( - 5 ) \\ m = (10)/( - 5) \\ m = - 2`