Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. 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 two 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 their slopes are equal. For example, in the equations y = mx + b, if both lines have the same '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 m1, the other must have a slope of m2 such that m1 * m2 = -1.

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.

Front

What is the slope of the line y = -6x + 3?

Back

The slope of the line y = -6x + 3 is -6.

Front

What is the slope of the line y = 1/6x + 25/6?

Back

The slope of the line y = 1/6x + 25/6 is 1/6.

Front

If a line has a slope of -2/7, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of -2/7 is 7/2.

Front

What is the equation of a line that is perpendicular to y = -1/2x + 5/2 and passes through the point (-4, 5)?

Back

The equation of the line is y = 2x + 13.

Front

What is the equation of a line that is parallel to y = -6x + 3 and passes through the point (-1, 4)?

Back

The equation of the line is y = -6x + 4.