Hi there!
The equation of a line is 4x - 3y = -24
We can find the x-intercept of the line by plugging in y = 0 into the formula (because on the x-axis, the y-coordinate of a point will always equal 0).
Plugging in y = 0 gives
4x - 3 * 0 = -24
Simplify
4x - 0 = -24
4x = -24
Divide by 4
x = -24 / 4 = -6
Therefore the x intercept of the line is the point (-6, 0)
~Hopte this helps you!