Parallel and Perpendicular Lines Review

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.

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.

Front

How do you determine if two lines are perpendicular based on their slopes?

Back

If the product of the slopes of two lines is -1, then the lines are perpendicular.

Front

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

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

Write the equation of a line parallel to y = 4x + 1 that passes through the point (3, 2).

Back

y = 4x - 10.

Front

Write the equation of a line perpendicular to y = -1/2x + 3 that passes through the point (4, 1).

Back

y = 2x - 7.

Front

What is the slope of the line y = 5x - 4?

Back

The slope is 5.

Front

If two lines have slopes of 3 and -1/3, what can you say about their relationship?

Back

The lines are perpendicular.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of a line that is perpendicular to y = 7x + 2?

Back

The slope is -1/7.