Find the x-intercept and y-intercept of the line

Question

-6x+5y=9

Answer 1

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

-6x + 5(0) = 9
-6x = 9
x = -1.5

Therefore, the x-intercept is (-1.5, 0).

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

-6(0) + 5y = 9
5y = 9
y = 1.8

Therefore, the y-intercept is (0, 1.8).