Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

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

Tags

CCSS.HSG.CO.A.1

Front

What is the definition of perpendicular lines?

Back

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

Tags

CCSS.HSG.CO.A.1

Front

If two lines have slopes m1 and m2, what condition must be met for the lines to be perpendicular?

Back

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

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line that is parallel to the line with the equation y = 2x + 3?

Back

The slope of a parallel line is also 2.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the perpendicular line is -1/5.

Tags

CCSS.8.EE.B.6

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the equation y = -3x + 4, what is the slope?

Back

The slope is -3.

Tags

CCSS.8.EE.B.5

Front

If two lines are neither parallel nor perpendicular, what can be said about their slopes?

Back

Their slopes are neither equal nor negative reciprocals of each other.

Tags

CCSS.8.EE.B.6

Front

What is the y-intercept of the line represented by the equation y = 4x - 7?

Back

The y-intercept is -7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3