To find the x- and y-intercepts of the line given by the equation \(-10x - 6y = 120\), we can follow these steps:
Finding the x-intercept:
The x-intercept occurs when \(y = 0\).
Substitute \(y = 0\) into the equation:
\[ –10x - 6(0) = 120 \] \[ -10x = 120 \] \[ x = \frac{120}{-10} \] \[ x = -12 \]
So, the x-intercept is \((-12, 0)\).
Finding the y-intercept:
The y-intercept occurs when \(x = 0\).
Substitute \(x = 0\) into the equation:
\[ –10(0) - 6y = 120 \] \[ -6y = 120 \] \[ y = \frac{120}{-6} \] \[ y = -20 \]
So, the y-intercept is \((0, -20)\).
Summary:
- x-intercept: \(-12\)
- y-intercept: \(-20\)
Therefore, the correct choice from your list is: x-intercept is –12; y-intercept is –20.