How do you graph 7x-2y=-14 using intercepts?

1 Answer
Sep 2, 2016

Plot the points, $\left(- 2 , 0\right) \mathmr{and} \left(0 , - 7\right)$

Explanation:

2 Points is the minimum number of points needed to draw a line.

The intercepts on the axes are two useful points.

All points on the x-axis have the y value = 0
All points on the y-axis have the x value = 0

To find the x-intercept. make y=0.
To find the y-intercept, make x =0

$7 x - 2 y = - 14$

For x-int: Make y=0: $7 x = - 14 \text{ } \rightarrow x = - 2$
For y-int: Make x=0: $- 2 y = - 14 \text{ } \rightarrow y = 7$

So plot the points, $\left(- 2 , 0\right) \mathmr{and} \left(0 , - 7\right)$

Draw the line through them.