Parallel & Perpendicular Equations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Tags

CCSS.HSG.CO.A.1

Front

What are perpendicular lines?

Back

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

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If the slope of a line is m, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line y = 3x + 2?

Back

The slope of the line y = 3x + 2 is 3.

Tags

CCSS.8.EE.B.5

Front

Determine if the lines y = -2/3x + 2 and y = 3/2x + 9 are parallel, perpendicular, or neither.

Back

The lines are perpendicular.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the slope of a line that is perpendicular to a line with slope 5/8?

Back

The slope of the perpendicular line is -8/5.

Tags

CCSS.8.EE.B.6

Front

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

Back

If two lines have the same slope, they are parallel.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the equation of a line that passes through the point (-4, 5) and is perpendicular to the line y = -1/2x + 5/2?

Back

The equation is y = 2x + 13.

Front

If two lines are neither parallel nor perpendicular, what can we conclude about their slopes?

Back

Their slopes are neither equal nor negative reciprocals.

Tags

CCSS.8.EE.B.6

Front

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

Back

The slope of the line y = 3x - 3 is 3.

Tags

CCSS.8.EE.B.5