Question

Determine the x- and y-intercepts of the graph of y = 1/4x - 2

Then plot the intercepts to the graph the equation

Answer 1

8,-2. place the x as 8 and y as -2.

Answer 2

The y-intecept is
`(0,-2)`, and the x-intercept is
`(8,0)`.

Explanation:

The interception points with the axes can be foun by making zero one variable.

If you wanna find y-interception, we must make x = 0.

If you wann find x-interception, we must make y = 0.

The given function is

`y=(1)/(4)x-2`

For
`x=0`, we have

`y=(1)/(4)(0)-2\\y=-2`

For
`y=0`, we have

`y=(1)/(4)x-2\\0=(1)/(4)x-2\\2=(1)/(4)x\\x=8`

Therefore, the y-intecept is
`(0,-2)`, and the x-intercept is
`(8,0)`.

The image attached show this.