How do you graph #x-y=7# by plotting points?

1 Answer
Nov 30, 2015

Convert the equation to slope-intercept form. Determine two points. Plot the points and draw a straight line through the points.

Explanation:

Rearrange the equation to slope-intercept form, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#x-y=7#

Subtract #x# from both sides.

#-y=-x+7#

Multiply both sides by #-1#.

#y=x-7#

Since this is a linear equation, only two points are needed.

Table of Points
#x=0,##y=-7# (y-intercept)
#x=7,##y=0# (x-intercept)

Plot the points on a graph and draw a straight line through the points.

graph{y=x-7 [-10, 10, -5, 5]}