Identify the correct x intercept and y intercept of the equation 2x - 3y = -18.

Answers:
a: x intercept = (9, 0); y intercept = (0, -6)
b: x intercept = (6, 0); y intercept = (0, -9)
c: x intercept = (-9, 0); y intercept = (0, 6)
d: x intercept = (-6, 0); y intercept = (0, 9)

Question

Identify the correct x intercept and y intercept of the equation 2x - 3y = -18.

Answers:
a: x intercept = (9, 0); y intercept = (0, -6)
b: x intercept = (6, 0); y intercept = (0, -9)
c: x intercept = (-9, 0); y intercept = (0, 6)
d: x intercept = (-6, 0); y intercept = (0, 9)

anonymous · Answer

The X-Intercept is where the linear equation passes through the X-axis. Touching the x-axis means that the y-value needs to be zero. So, to solve for the x-intercept, we substitute (0) in for y, and solve.
$$2x-3y=-18$$
$$2x-3(0)=-18$$
$$2x-0=-18$$
$$2x=-18$$ 
$$x=-9$$

So for the y-value of 0, the x-value is -9, so the x-intercept is the ordered pair (-9,0)

The Y-Intercept is where the linear equation passes through the Y-axis. Passing through the y-axis means that the x-value needs to be zero. So, to solve for the y-intercept, we substitute (0) in for x, and solve.

$$2x-3y=-18$$
$$2(0)-3y=-18$$
$$-3y=-18$$
$$y=6$$

So for the x-value of 0, the y-value is 6, so the y-intercept is the ordered pair (0,6)

In y our multiple choice, you see this represented as choice C