Question

Could someone explain how to solve this

Answer 1

f(x) =
`(4)/(5)`x - 5

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 =
`(-1 - (-5))/(5 - 0)` =
`(4)/(5)`

Then use point-slope form to make equation:

y - (-5) =
`(4)/(5)`(x - 0)

y + 5 =
`(4)/(5)`x

y =
`(4)/(5)`x - 5

Answer 2

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

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=(4x)/(5)-5`