Parallel Vs. Perpendicular Equations

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are opposite reciprocals.

Front

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

Back

The slope of a line parallel to it is also m.

Tags

CCSS.8.EE.B.6

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 it is -1/m.

Tags

CCSS.8.EE.B.6

Front

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

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel from their equations?

Back

You can determine if two lines are parallel by comparing their slopes; if the slopes are equal, the lines are parallel.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are perpendicular from their equations?

Back

You can determine if two lines are perpendicular by checking if the product of their slopes equals -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Tags

CCSS.8.EE.B.5