Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are negative reciprocals of each other.

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal. For example, in the slope-intercept form y = mx + b, if m1 = m2, the lines are parallel.

Front

How do you determine if two lines are perpendicular using 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 = 2x - 3?

Back

The slope of the line y = 2x - 3 is 2.

Front

What is the y-intercept of the line y = -2x + 5?

Back

The y-intercept of the line y = -2x + 5 is 5.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and the point through which the new line passes to find the y-intercept.

Front

What is the negative reciprocal of 2?

Back

The negative reciprocal of 2 is -1/2.

Front

If a line has a slope of -6, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of -6 is 1/6.