4.

Question

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

2x + 3y = –18


x-intercept is –6; y-intercept is –9.

x-intercept is 18; y-intercept is 18.

x-intercept is –9; y-intercept is –6.

x-intercept is 2; y-intercept is 3.

Answer 1

To find the x- and y-intercepts of the line represented by the equation \(2x + 3y = -18\), we can follow these steps:

1. Finding the x-intercept: This occurs where \(y = 0\). \[ 2x + 3(0) = -18 \ 2x = -18 \ x = -9 \]

   Thus, the x-intercept is \((-9, 0)\).

2. Finding the y-intercept: This occurs where \(x = 0\). \[ 2(0) + 3y = -18 \ 3y = -18 \ y = -6 \]

   Thus, the y-intercept is \((0, -6)\).

Now we can summarize the results:

• The x-intercept is \(-9\).
• The y-intercept is \(-6\).

Therefore, the correct answer is: x-intercept is –9; y-intercept is –6.