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

–10x – 6y = 120

x-intercept is –20; y-intercept is –12.

x-intercept is –6; y-intercept is –10.

x-intercept is –12; y-intercept is –20.

x-intercept is –10; y-intercept is –6.

1 answer

To find the x- and y-intercepts of the line represented by the equation \(-10x - 6y = 120\), we can follow these steps:

  1. Finding the x-intercept:

    • Set \(y = 0\) and solve for \(x\): \[ -10x - 6(0) = 120 \ -10x = 120 \ x = -12 \] So, the x-intercept is \((-12, 0)\).
  2. Finding the y-intercept:

    • Set \(x = 0\) and solve for \(y\): \[ -10(0) - 6y = 120 \ -6y = 120 \ y = -20 \] So, the y-intercept is \((0, -20)\).

Putting the intercepts together, we have:

  • x-intercept: \(-12\)
  • y-intercept: \(-20\)

Thus, the correct answer is: x-intercept is –12; y-intercept is –20.