Question

Question 1 of 10

What is the slope of the line that contains the points (-2, 5) and (6,-3)?
OA. 8
OB. 1
O C. -1
OD. -8

Answer 1

slope is -1

Explanation:

Slope of the line is changes in y over changes in x. It can also be referred as rise over run.

We can express mathematically as:

`\displaystyle{m=(y_2-y_1)/(x_2-x_1)}`

where m is slope.

Let (-2,5) be
`\displaystyle{(x_2,y_2)}` and (6,-3) be
`\displaystyle{(x_1,y_1)}`. Hence, apply the slope formula:

`\displaystyle{m=(5-(-3))/(-2-6)}\\\\\displaystyle{m=(5+3)/(-8)}\\\\\displaystyle{m=(8)/(-8)}\\\\\displaystyle{m=-1}`

Therefore, the slope is -1