Final answer:
To find the x-intercept, substitute y = 0 into the equation and solve for x. To find the y-intercept, substitute x = 0 into the equation and solve for y. Plot the intercepts on a coordinate plane and draw a line connecting them.
Step-by-step explanation:
To find the x-intercept, we set y = 0 and solve for x. We substitute y = 0 into the equation 4X + 3Y = -24: 4X + 3(0) = -24. Simplifying, we get 4X = -24. Solving for x, we divide both sides by 4, giving us X = -6. Therefore, the x-intercept is (-6, 0).
To find the y-intercept, we set x = 0 and solve for y. We substitute x = 0 into the equation 4X + 3Y = -24: 4(0) + 3Y = -24. Simplifying, we get 3Y = -24. Solving for y, we divide both sides by 3, giving us Y = -8. Therefore, the y-intercept is (0, -8).
To graph the line, we plot the x-intercept (-6, 0) and the y-intercept (0, -8) on a coordinate plane and draw a line connecting them. The line will pass through both points and represent the equation 4X + 3Y = -24.