Writing Equations for Parallel & Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Tags

CCSS.HSG.CO.A.1

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are negative reciprocals of each other.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Tags

CCSS.8.EE.B.6

Front

If the slopes of two lines are negative reciprocals, what can we say about them?

Back

They are perpendicular.

Front

What is the slope of the line y = 2x + 5?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line y = -3/4x - 2?

Back

The slope is -3/4.

Tags

CCSS.8.EE.B.5

Front

Determine if the lines y = 1/2x + 8 and y = -2x + 3 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Tags

CCSS.8.EE.B.6

Front

Determine if the lines y = 2x + 10 and y = 2x - 6 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

Write the equation of a line parallel to y = 2x + 5 that passes through (3,4).

Back

y = 2x - 2.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

Their slopes are neither equal nor negative reciprocals.

Tags

CCSS.8.EE.B.5