Question

The points (4,2) and (5,r) fall on a line with a slope of
–7. What is the value of r?

Answer 1

r = -5

Explanation:

To find the value of 'r', use the slope formula.

(4, 2) ; x₁ = 4 and y₁ = 2

(5 , r ) ; x₂ = 5 and y₂= r

`\boxed{slope = (y_2-y_1)/(x_2-x_1)}`

`(r -2)/(5 - 4 )= -7\\\\(r -2)/(1)=-7`

r - 2 = -7

r = -7 + 2

r = -5