Work Step by Step
You have two lines: y=-2x+3 and2x+y=7. The first lines' slope is -2. Change the second equation into slope-intercept form to find its slope: 2x+y=7 (subtract 2x from both sides) y=-2x+7 The slope is also -2. So, the lines are parallel because they have the same slope but different y-intercepts.