How many points do the lines given by the equations 2x + 2y = 3 and y - ProProfs Discuss
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How many points do the lines given by the equations 2x + 2y = 3 and y = -x + 1 intersect?

Asked by Tyler, Last updated: Nov 26, 2021

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John Smith

John Smith

John Smith
John Smith

Answered Sep 08, 2016

Two lines can intersect at 0, 1, or many (infinite) points. parallel lines (lines with the same slope) never intersect while all other lines intersect at exactly one point. If the two lines described are identical, they are everywhere intersecting. To determine if the lines are parallel, we find both of their equations in slope-intercept form: 2x + 2y = 3, 2y = -2x + 3, y = -x + 3/2. The lines are: y = -x + 3/2 and y = -x + 1. Since they have the same slope but different y-intercepts, they never intersect.

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