Question

graph this line using intercepts:
7x - 2y = -14
click to select points on the graph.

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 7x - 2y = -14 \):
\( 7x - 2(0) = -14 \)
\( 7x = -14 \)
\( x = \frac{-14}{7} = -2 \)
So, x-intercept is \( (-2, 0) \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 7x - 2y = -14 \):
\( 7(0) - 2y = -14 \)
\( -2y = -14 \)
\( y = \frac{-14}{-2} = 7 \)
So, y-intercept is \( (0, 7) \).

Step3: Plot points and draw line

Plot \( (-2, 0) \) (on x-axis) and \( (0, 7) \) (on y-axis), then draw a line through them.

Answer:

The line passes through \( (-2, 0) \) and \( (0, 7) \). Plot these points and connect them to graph the line \( 7x - 2y = -14 \).