Question

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

Answer 1

Answer:

slope = - $\frac{1}{3}$

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{8-6}{-2-4}$ = $\frac{2}{-6}$ = - $\frac{1}{3}$