Write Equations for Parallel and Perpendicular Lines

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the definition of perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are opposite reciprocals.

Front

If two lines are parallel, what can be said about their equations?

Back

The equations of parallel lines will have the same slope but different y-intercepts.

Front

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

Back

If the slopes of the two lines are equal, then the lines are parallel.

Front

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

Back

The slope of a line parallel to y = 4x + 2 is 4.

Front

Write the equation of a line parallel to y = -3x + 1 that passes through the point (2, 5).

Back

y = -3x + 11.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of the slopes of two perpendicular lines is -1.

Front

If a line has a slope of 2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line perpendicular to it would be -1/2.

Front

How can you find the equation of a line perpendicular to a given line?

Back

First, find the negative reciprocal of the slope of the given line, then use the point-slope form to write the equation.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.