Final answer:
The x-intercept is (-1/2, 0) and the y-intercept is (0, 9/4).
Step-by-step explanation:
To find the x-intercept of the line 18x - 4y = -9, we set y = 0 and solve for x. Substituting y = 0 into the equation, we get 18x - 4(0) = -9. Simplifying, we have 18x = -9. Dividing both sides by 18, we find that x = -9/18 = -1/2. Therefore, the x-intercept is (-1/2, 0).
To find the y-intercept of the line, we set x = 0 and solve for y. Substituting x = 0 into the equation, we get 18(0) - 4y = -9. Simplifying, we have -4y = -9. Dividing both sides by -4, we find that y = -9/-4 = 9/4. Therefore, the y-intercept is (0, 9/4).