Question

Find the x- and y-intercepts of the graph of the equation for 3x - 4y = 24

Answer 1

Part 1) The y-intercept is the point (0,-6)

Part 2) The x-intercept is the point (8,0)

Explanation:

we have

`3x-4y=24`

step 1

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

`3(0)-4y=24`

`-4y=24`

`y=-6`

The y-intercept is the point (0,-6)

step 2

Find the x-intercept

we know that

The x-intercept is the value of x when the value of y is equal to zero

For y=0

`3x-4(0)=24`

`3x=24`

`x=8`

The x-intercept is the point (8,0)