To find the x- and y-intercepts of the line represented by the equation \(-10x - 6y = 120\), we can follow these steps:
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Finding the x-intercept:
- Set \(y = 0\) and solve for \(x\): \[ -10x - 6(0) = 120 \ -10x = 120 \ x = -12 \] So, the x-intercept is \((-12, 0)\).
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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.