Question

Could someone explain how to solve this

Answer 1

Answer:

y=\frac{4x}{5}-5

Step-by-step explanation:

linear equation

y=mx+b

We can see that when x=0 y= -5

THis means that b= -5 so we have

y=mx-5

We then know that when x=5 y= -1 so we have

-1=5m-5

Solve this and get m= 4/5

So we have

$y=\frac{4x}{5}-5$

Answer 2

Answer:

f(x) = $\frac{4}{5}$x - 5

Step-by-step explanation:

f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).

You can find the slope using the two points:

slope = $\frac{-1 - (-5)}{5 - 0}$ = $\frac{4}{5}$

Then use point-slope form to make equation:

y - (-5) = $\frac{4}{5}$(x - 0)

y + 5 = $\frac{4}{5}$x

y = $\frac{4}{5}$x - 5