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

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Answer 1 · 2016-09-02T21:45:17

Plot the points, #(-2, 0) and (0,-7)#

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

#7x - 2y = -14#

For x-int: Make y=0: # 7x = -14 " "rarr x= -2#
For y-int: Make x=0: #-2y = -14" "rarr y = 7#

So plot the points, #(-2, 0) and (0,-7)#

Draw the line through them.