Question

find the x-intercept and y-intercept for linear equation 5x-3y=-6

Answer 1

To find the x-intercept, we set y equal to zero and solve for x.

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

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

To find the y-intercept, we set x equal to zero and solve for y.

5(0) - 3y = -6
-3y = -6
y = -6/-3
y = 2

So, the y-intercept is (0, 2).

Therefore, the x-intercept is (-6/5, 0) and the y-intercept is (0, 2).