Question

graph this line using intercepts: 6x - 6y = -120 click to select points on the graph. (graph with x-axis from -100 to 100 and y-axis from -100 to 100, grid lines)

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 6x - 6y = -120 \):
\( 6x - 6(0) = -120 \)
\( 6x = -120 \)
\( x = \frac{-120}{6} = -20 \)
So x-intercept is \((-20, 0)\).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 6x - 6y = -120 \):
\( 6(0) - 6y = -120 \)
\( -6y = -120 \)
\( y = \frac{-120}{-6} = 20 \)
So y-intercept is \((0, 20)\).

Answer:

To graph the line \( 6x - 6y = -120 \) using intercepts, plot the x-intercept \(\boldsymbol{(-20, 0)}\) and the y-intercept \(\boldsymbol{(0, 20)}\), then draw a straight line through these two points.