Question

Find the x-intercept and y-intercept of the graph of the equation 2y = 3x - 6.

Answer 1

Given:

The equation is:

`2y=3x-6`

To find:

The x-intercept and y-intercept of the graph of the given equation.

Solution:

We have,

`2y=3x-6`

Substitute
`y=0` to find the x-intercept.

`2(0)=3x-6`

`0+6=3x`

`(6)/(3)=x`

`2=x`

So, the x-intercept of the graph of the given equation is 2.

Substitute
`x=0` to find the y-intercept.

`2y=3(0)-6`

`2y=-6`

`y=(-6)/(2)`

`y=-3`

So, the y-intercept of the graph of the given equation is -3.

Therefore, the x-intercept is 2 and the y-intercept is -3.