Question

find the x and y intercept of 4y=24-12x

Answer 1

Divide entire equation by 4

y=6-3x

The x-intercept occurs when y=0 so

0=6-3x

3x=6

x=2

So the x-intercept is the point (0,2)

The y-intercept occurs when x=0 so:

y=6-3x

y=6

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

Answer 2

The x-intercept is when y is 0, so 0 = 24 - 12x --> 12x = 24 --> x = 2

The y-intercept is when x is 0, so 4y = 24 --> y = 6