Where does 2x plus 3y equals 24 cut the x- axis?

Answer 1

We should always start with slope-intercept form:

2x + 3y = 24

3y = -2x + 24

y = -2x/3 + 8

Once in this form we see that our y-axis intercept is 8. To find our x-axis intercept, we solve the equation substituting 0 for y:

0 = -2x/3 + 8

-8 = -2x/3

x = (-8)(-3/2)

x = 24/12

x = 12