Answer:
The slope is 4.
Step-by-step explanation:
We are given that f(0)=-5 and f(4)=11.
This means that we have the two points (0, -5) and (4, 11).
So, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, -5) be (x₁, y₁) and let (4, 11) be (x₂, y₂). Substitute appropriately:
[tex]m=\frac{11-(-5)}{4-0}[/tex]
Evaluate:
[tex]m=\frac{16}{4}=4[/tex]
Hence, the slope of the line given f(0)=-5 and f(4)=11 is 4.
