Question

Find the slope of the line through (4,−5) and (−2,1).

Answer 1

slope = - 1

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)

m =
`(1+5)/(-2-4)` =
`(6)/(-6)` = - 1

Answer 2

-1

Explanation:

To find the slope, plug the values of x and y into the slope formula.

y2 - y1 / x2 - x1

1 - (-5) / - 2 - 4

6 / -6

= -1