How many points do the lines given by the equations 2x + 2y = 3 and y - ProProfs Discuss  + Ask Question

# 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

### Request 0Follow Share     Answer AnonymouslyAnswer Later Copy Link  John Smith 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.    Search for Google images Select a recommended image
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