Question

Find the x- and y-intercepts for : 4y-6x = 24

Answer 1

y-intercept = (0, 6)

x-intercept = (-4, 0)

Explanation:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.

To find the y-intercept, set x = 0:

4y - 6x = 24

4y - 6(0) = 24

4y = 24

4y/4 = 24/4

y = 6

Therefore, the y-intercept is (0, 6).

The x-intercept is the point the graph where it crosses the x-axis, and has coordinates (a, 0). It is also the value of x when y = 0.

To find the x-intercept, set y = 0:

4(0) - 6x = 24

0 - 6x = 24

-6x/-6 = 24/-6

x = -4

Therefore, the x-intercept is (-4, 0).