Answer:
-36
Step-by-step explanation:
A linear function has a constant slope.
This means no matter the points you use to calculate the slope that the slope will always remain the same.
[tex]\frac{f(-3)-f(3)}{-3-3}=\frac{f(8)-f(3)}{8-3}[/tex]
[tex]\frac{19-(-11)}{-6}=\frac{f(8)-(-11)}{5}[/tex]
[tex]\frac{30}{-6}=\frac{f(8)+11}{5}[/tex]
[tex]-5=\frac{f(8)+11}{5}[/tex]
Multiply both sides by 5:
[tex]-25=f(8)+11[/tex]
Subtract 11 on both sides:
[tex]-36=f(8)[/tex]
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