Question

What are the x- and y-intercepts of the graph of 5x – 4y = 20?

Answer 1

The x-intercept is (4, 0)

The y-intercept is (0, -5)

Explanation:

The x-intercept is always (x, 0)

Knowing this we can sub 0 for y in the equation so we can find the x-intercept

`5x-4y=20\\5x-4(0)=20\\5x=20`

Now solve for x

`5x=20\\(5x)/(5) =(20)/(5) \\x=4`

The x-intercept is (4,0)

The y-intercept is always (0, y)

Knowing this we can sub 0 for x in the equation so we can find the y-intercept

`5x-4y=29\\5(0)-4y=20\\-4y=20`

Now solve for y

`-4y=20\\(-4y)/(-4) =(20)/(-4) \\y=-5`

The y-intercept is (0, -5)