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

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and the point through which the new line passes.

Front

How do you find the equation of a line perpendicular to a given line?

Back

To find the equation of a line perpendicular to a given line, use the negative reciprocal of the slope of the given line and the point through which the new line passes.

Front

What is the slope of the line given by the equation y = 3x + 4?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line given by the equation y = -2x + 5?

Back

The y-intercept of the line is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

The lines are perpendicular because the product of their slopes (2 * -1/2) equals -1.