CCSS HSG-GPE.B.5 Worksheets
Geometry · Expressing Geometric Properties with Equations
Prove the slope criteria for parallel and perpendicular lines and use them to solve problems, such as finding the equation of a line parallel to a given line through a given point.
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Teaching guide
What students learn
Prove the slope criteria for parallel and perpendicular lines and use them to solve problems, such as finding the equation of a line parallel to a given line through a given point.
Worked example
Are the lines y = 6x - 6 and y = -5x - 3 parallel? Explain how you know.
Answer: No, they are not parallel.
Why: Two distinct lines in the form y = mx + c are parallel when they have the same gradient and different intercepts. The first line has gradient 6; the second has gradient -5. Since 6 ≠ -5, the lines are NOT parallel.
Generated and checked in code, so it is correct.
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