Parallel and Perpendicular Lines

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 two lines have slopes m1 and m2, when are they parallel?

Back

Two lines are parallel if m1 = m2.

Tags

CCSS.8.EE.B.6

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

Two lines are perpendicular if m1 * m2 = -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line perpendicular to a line with slope 4?

Back

The slope of a line perpendicular to a line with slope 4 is -1/4.

Tags

CCSS.8.EE.B.6

Front

Given the equation y = 2x + 3, what is the slope?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line parallel to y = 3x + 1 that passes through the point (2, 5)?

Back

The equation is y = 3x - 1.

Front

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

Back

The slope of the line is -5.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -2, what is the slope of a line that is parallel to it?

Back

The slope of a line parallel to it is also -2.

Tags

CCSS.8.EE.B.6

Front

If a line has a slope of 1/2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line perpendicular to it is -2.

Tags

CCSS.8.EE.B.6