Question

graph this line using intercepts: 10x - 60y = -6,000 click to select points on the graph.

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 10x - 60y = -6000 \):
\( 10x - 60(0) = -6000 \)
\( 10x = -6000 \)
\( x = \frac{-6000}{10} = -600 \)
So x-intercept is \( (-600, 0) \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 10x - 60y = -6000 \):
\( 10(0) - 60y = -6000 \)
\( -60y = -6000 \)
\( y = \frac{-6000}{-60} = 100 \)
So y-intercept is \( (0, 100) \).

Answer:

To graph the line \( 10x - 60y = -6000 \), plot the x-intercept \( \boldsymbol{(-600, 0)} \) and the y-intercept \( \boldsymbol{(0, 100)} \), then draw a straight line through these two points.