Find X and Y intercept points

Question

Determine the intercepts of the line. -5x+9y=-18−5x+9y=−18

Answer 1

In wanting to identify the x and y intercepts, we must first understand what they mean.

1. x intercept --> occurs when the line crosses over the x axis, when y = 0
2. y intercept --> occurs when the line crosses over the y axis, when x = 0

In order to identify these intercepts, we simply plug in one of the above knowns and solve for the unknown:

1. x intercept; y = 0 --> -5*x + 9*0 = -18 --> -5*x = -18 --> x = 18/5 --> x intercept: (18/5, 0)
2. y intercept; x = 0 --> -5*0 + 9*y = -18 --> 9*y = -18 --> y = -18/9 = -2 --> y intercept: (0, -2)