Question

What is the slope of the line that passes through the points (0, –7) and (–4, 3)?

A. 5/2
B. −5/2
C. −3/2
D. 3/2

Answer 1

Answer:
`-5/2`

Find the slope between your two points

`(x_(1) ,y_(1) )=(0,-7)`

`(y_(2) ,y_(2))=(-4,3)`

Use the slope formula

`m=y_(2)-y_(1) /x_(2)-x_(1)`

`3--7/-4-0`

`10/-4`

`-5/2`

Answer 2

`( - 5)/(2)`

ANSWER B IS CORRECT.

Explanation:

`(y1 - y2)/(x1 - x2) \\ ( - 7 - 3)/( 0 - 4) \\ = ( -10)/(2) \\ = ( - 5)/(2)`