Writing Equations of Parallel or Perpendicular Lines

Front

What is the slope of a line parallel to the line represented by the equation y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

What is the slope of a line perpendicular to the line represented by the equation y = -2x + 1?

Back

The slope of a line perpendicular to y = -2x + 1 is \frac{1}{2}.

Front

How do you find the equation of a line parallel to a given line that passes through a specific point?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form: y - y_1 = m(x - x_1).

Front

How do you find the equation of a line perpendicular to a given line that passes through a specific point?

Back

To find the equation of a line perpendicular to a given line, use the negative reciprocal of the slope of the given line and apply the point-slope form: y - y_1 = m(x - x_1).

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

What is the slope of a line with the equation y = 3?

Back

The slope of the line y = 3 is 0, as it is a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of \frac{5}{8}, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope \frac{5}{8} is -\frac{8}{5}.

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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.