Parallel & Perpendicular Lines Practice

Front

What is the equation of a line in standard form?

Back

Ax + By = C, where A, B, and C are integers.

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.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

How do you find the slope from the equation -6x - 2y = 9?

Back

Rearranging to slope-intercept form (y = mx + b) gives y = -3x - 4, so the slope is -3.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also 3.

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a perpendicular line is -1/3.

Front

What is the slope of the line represented by the equation 2x + 4y = 12?

Back

Rearranging gives y = -1/2x + 3, so the slope is -1/2.

Front

Write the equation of a line that is parallel to y = 2x + 1 and passes through the point (1, 3).

Back

y = 2x + 1.

Front

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

Back

y = 2x - 3.