Question

graph this line using intercepts:
3x - 5y = -30
click to select points

Explanation:

Step1: Find x - intercept

Set \( y = 0 \) in \( 3x - 5y = - 30 \).
\( 3x-5(0)=-30\)
\( 3x=-30\)
\( x = - 10 \). So x - intercept is \((-10,0)\).

Step2: Find y - intercept

Set \( x = 0 \) in \( 3x - 5y = - 30 \).
\( 3(0)-5y=-30\)
\( - 5y=-30\)
\( y = 6 \). So y - intercept is \((0,6)\).

Step3: Graph the line

Plot the points \((-10,0)\) and \((0,6)\) on the coordinate plane and draw a straight line through them.

Answer:

To graph \( 3x - 5y=-30 \) using intercepts, plot \((-10,0)\) (x - intercept) and \((0,6)\) (y - intercept) and draw a line through them.