5x-9=-8y-3

Question

x-intercept
y-intercept

Answer 1

To find the x-intercept, we set y=0 and solve for x:

5x - 9 = -8(0) - 3
5x - 9 = -3
5x = 6
x = 6/5

Therefore, the x-intercept is (6/5, 0).

To find the y-intercept, we set x=0 and solve for y:

5(0) - 9 = -8y - 3
-9 = -8y - 3
-8y = -6
y = -6/-8
y = 3/4

Therefore, the y-intercept is (0, 3/4).