Question

Determine the intercepts of the line. Do not round your answers. -5x+9y=-18.

a) x-intercept: 3, y-intercept: -2
b) x-intercept: -2, y-intercept: 3
c) x-intercept: -3.6, y-intercept: 2
d) x-intercept: 2, y-intercept: -

Answer 1

The y-intercept is -2 and the x-intercept is 18/5.

Step-by-step explanation:

The y-intercept represents the point where the line crosses the y-axis, and it can be determined by setting x=0 in the equation. To find the y-intercept, we set x=0 in the equation -5x+9y=-18:

-5(0) + 9y = -18

9y = -18

y = -18/9

y = -2

Therefore, the y-intercept is -2.

To find the x-intercept, we set y=0 in the equation:

-5x + 9(0) = -18

-5x = -18

x = -18/-5

x = 18/5

So the x-intercept is 18/5.