Equations of Parallel and Perpendicular Lines

Front

What is the slope of a line that is perpendicular to a line with a slope of -2?

Back

The slope of a line that is perpendicular to a line with slope m is given by -1/m. Therefore, the slope is 1/2.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

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.

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 slope 3 is -1/3.

Front

Write the equation of a line in slope-intercept form with a slope of 4 and a y-intercept of -2.

Back

y = 4x - 2.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If the equation of a line is y = 2x + 5, what is the slope of a line parallel to it?

Back

The slope of a line parallel to y = 2x + 5 is 2.

Front

Write the equation of a line that passes through the point (1, 2) and has a slope of -1.

Back

y - 2 = -1(x - 1) or y = -x + 3.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.