HSG.GPE.B.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

Also written as G-GPE.5 or G.GPE.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

Example Problems

Write the equation of a line that is parallel to

y = -7x + 5

and that passes through the point

(3, -2)

.

Write the equation of a line that is perpendicular to

y = 3x - 2

and that passes through the point

(-9, 5)

.

Write the equation of a line that is parallel to

y = \frac{-3}{2}x - 1

and that passes through the point

(4, 6)

.

Khan Academy Resources

Parallel & perpendicular lines from equation Prove slope theorems Write equations of parallel & perpendicular lines Parallel & perpendicular lines from graph Parallel lines from equation Parallel lines from equation (example 2)Parallel lines from equation (example 3)Perpendicular lines from equation Writing equations of perpendicular lines Proof: perpendicular lines have opposite reciprocal slopes Parallel & perpendicular lines from graph Proof: parallel lines have the same slope Writing equations of perpendicular lines (example 2)

1-on-1 tutoring aligned to HSG.GPE.B.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →