Answer:
[tex]f(x)=\frac{7}{2}x+10[/tex]
Step-by-step explanation:
These relations can be rewritten as ordered pairs.
- f(-6) = -11 ⇔ (-6, -11)
- f(-2) = 3 ⇔ (-2, 3)
Insert these ordered pairs into the slope formula to find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-11-3}{-6-(-2)}\\\\m=\frac{-14}{-4}\\\\m=\frac{7}{2}[/tex]
Use the information found and insert it into the point-slope formula.
[tex]y-y_1=m(x-x_1)\\\\y-3=\frac{7}{2}(x-(-2))\\\\y-3=\frac{7}{2}x+7\\\\y=\frac{7}{2}x+10[/tex]
