Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the 2 points: [tex]m = \frac{16-8}{1-0}[/tex]
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
- 24 = 8(2)+b
- 24 = 16 + b
- b = 8
We have now found the equation of the linear function: y = 8x+8
