Question

Find the slope of the line through each pair of points.
(-18, 7), (-10, -15)

Answer 1

slope = -
`(11)/(4)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 18, 7 ) and (x₂, y₂ ) = (- 10, - 15 )

m =
`(-15-7)/(-10-(-18))` =
`(-22)/(-10+18)` =
`(-22)/(8)` = -
`(11)/(4)`

Answer 2

slope (m) = -2.75

The entered points belong to a decreasing, linear function.
Equation: y = -2.75x - 42.5.