Question

4x - 3y= 24Find the x and y intercept then use them to graph the line

Answer 1

x-intercept = (6, 0)

y-intercept = (0, -8)

Step-by-step explanation:

The x-intercept is the value of x when y = 0, then, the x-intercept of the equation is:

4x - 3y = 24

4x - 3(0) = 24

4x - 0 = 24

4x = 24

4x/4 = 24/4

x = 6

Therefore, the x-intercept is the point (6, 0)

On the other hand, the y-intercept is the value of y when x = 0, so:

4x - 3y = 24

4(0) - 3y = 24

0 - 3y = 24

-3y = 24

-3y/(-3) = 24/(-3)

y = -8

So, the y-intercept is the point (0, -8)

Then, the graph of the line is: