Back to Prove slope criteria for lines — Problem 3 · Task Set 34

Exercises: Prove Slope Criteria for Parallel and Perpendicular Lines

Work through each section in order. Write every line equation in slope-intercept form unless a problem says otherwise, and show the slope you used before writing the equation.

Grade 10·23 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-5

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Fluency Practice

Which pair of slopes belongs to two perpendicular lines?

$6$ and $-6$ , because the two slopes are opposites.

$\frac{2}{7}$ and $\frac{2}{7}$ , because the two slopes match exactly.

$\frac{3}{8}$ and $\frac{8}{3}$ , because the two slopes are reciprocals.

$\frac{9}{4}$ and $-\frac{4}{9}$ , because the two slopes are negative reciprocals.