HS.G-GPE.5
Develop and verify the slope criteria for parallel and perpendicular lines. Apply the slope criteria for parallel and perpendicular lines to solve geometric problems using algebra.
Example Problems
Write the equation of a line that is parallel to and that passes through the point .
Write the equation of a line that is perpendicular to and that passes through the point .
Write the equation of a line that is parallel to and that passes through the point .
Khan Academy ResourcesParallel & perpendicular lines from equationWrite equations of parallel & perpendicular linesParallel & perpendicular lines from graphParallel lines from equationParallel lines from equation (example 2)Parallel lines from equation (example 3)Perpendicular lines from equationWriting equations of perpendicular linesProof: perpendicular lines have opposite reciprocal slopesParallel & perpendicular lines from graphProof: parallel lines have the same slopeWriting equations of perpendicular lines (example 2)

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