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.

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 parallel from their equations?

Back

Two lines are parallel if they have the same slope. For example, in the equations y = mx + b, if both lines have the same value of m, they are parallel.

Front

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

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m, the other must have a slope of -1/m.

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

What is the slope of a line perpendicular to y = -3x + 4?

Back

The slope of a line perpendicular to y = -3x + 4 is 1/3.

Front

Given the equations y = 5x + 1 and y = 5x - 4, are these lines parallel, perpendicular, or neither?

Back

These lines are parallel because they have the same slope of 5.

Front

Given the equations y = 1/2x + 2 and y = -2x + 3, are these lines parallel, perpendicular, or neither?

Back

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

Front

What is the y-intercept of the line y = 4x + 7?

Back

The y-intercept of the line y = 4x + 7 is 7.

Front

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

Back

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