Question

graph this line using intercepts:
7x - y = 7
click to select points on the graph.

Explanation:

Step1: Find x - intercept (y = 0)

Set \( y = 0 \) in \( 7x - y = 7 \).
\( 7x - 0 = 7 \)
\( 7x = 7 \)
Divide both sides by 7: \( x = 1 \). So x - intercept is \( (1, 0) \).

Step2: Find y - intercept (x = 0)

Set \( x = 0 \) in \( 7x - y = 7 \).
\( 7(0) - y = 7 \)
\( -y = 7 \)
Multiply both sides by - 1: \( y=-7 \). So y - intercept is \( (0, - 7) \).

To graph the line, plot the points \( (1, 0) \) and \( (0, - 7) \) on the coordinate plane and draw a straight line through them.

Answer:

The x - intercept is \( (1, 0) \) and the y - intercept is \( (0, - 7) \). The line is graphed by plotting these two points and drawing a line through them.