Question

What is the x-and y-intercept of the graph 4x -5y =40??

Answer 1

x-intercept = 10

y-intercept = -8

Explanation:

`4x-5y=40`

To identify the y-intercept, we will need to format the equation in the form
`y=mx+b`. We can start by subtracting
`4x` from both sides of the equation:

`-5y=-4x+40`

Divide both sides of the equation by the coefficient of
`y`, which is
`-5`:

`y=(-4)/(-5) x - 8`

The
`b` is representative of the y-intercept in
`y=mx+b`.

Identify
`b` in the equation
`y=(-4)/(-5) x - 8`:

`b=-8`

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the
`y` in the equation
`y=(-4)/(-5) x - 8` with a zero:

`0=(-4)/(-5) x - 8`

Add
`8` to both sides of the equation:

`8=(-4)/(-5) x`

You can go ahead and divide
`-4` by
`-5` to get rid of the fraction:

`8=0.8x`

Divide both sides of the equation by the coefficient of
`x`, which is
`0.8`:

`10=x`

Therefore, our x-intercept is 10.