Question

What is the slope of the line that passes through (-3,5) & (4,-1)

Answer 1

`\boxed {m = -(6)/(7)}`

Explanation:

Use the Slope Formula to help determine the slope of the two following points:

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

(where
`(x_(1), y_(1))` represents the first point and
`(x_(2), y_(2))` represents the second point)

-Apply the two following points to the formula:

`(x_(1), y_(1)) = (-3, 5)`

`(x_(2), y_(2)) = (4, -1)`

`m = (-1 - 5)/(4 + 3)`

-Solve for the slope:

`m = (-1 - 5)/(4 + 3)`

`m = (-6)/(7)`

`\boxed {m = -(6)/(7)}`

Therefore, the slope is
`-(6)/(7)`.

Answer 2

-6/7, the first one