Equations of Parallel and Perpendicular Lines

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = mx + b?

Back

The slope of a line that is perpendicular to another line is the negative reciprocal of the slope of the original line. If the slope of the original line is m, then the slope of the perpendicular line is -1/m.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope. In slope-intercept form, if the equations are y = mx + b1 and y = mx + b2, they are parallel.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m1 and the other has a slope of m2, then m1 * m2 = -1.

Front

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

Back

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

Front

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

Back

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

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.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 3?

Back

The y-intercept of the line y = -1/2x + 3 is 3.

Front

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

Back

The equation of the line is y = 5x - 7.

Front

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

Back

The equation of the line is y = -1/3x + 13/3.