Question

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

Answer 1

slope = -
`(1)/(3)`

Explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

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

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m =
`(8-6)/(-2-4)` =
`(2)/(-6)` = -
`(1)/(3)`