Question

What is the slope of the line that passes through (3, −7) and (−1, 1)? (1 point)

Answer 1

The slope of the line is -2

Explanation:

The rule of the slope of a line is:

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

`(x_(1),y_(1))` and
`(x_(2),y_(2))` are two points on the line

Let us find the slope using the rule above

∵ The line passes through points (3, -7) and (-1 , 1)

∴
`x_(1)` = 3 and
`x_(2)` = -1

∴
`y_(1)` = -7 and
`y_(2)` = 1

Substitute these values in the rule above to find m

∴
`m=(1--7)/(-1-3)=(1+7)/(-4)=(8)/(-4)=-2`

∴ The slope of the line that passes through the given points is -2