Equations of Parallel and Perpendicular Lines

Front

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

Back

The slope of a line parallel to the line represented by the equation y = mx + b is the same as m.

Front

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

Back

The slope of a line perpendicular to the line represented by the equation y = mx + b is -1/m.

Front

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

Back

y = 3x + 1.

Front

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

Back

y = rac{1}{2}x - rac{1}{2}.

Front

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

Back

The slope is 4.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

It is a vertical line.

Front

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

Back

y = -x + 5.

Front

Write the equation of a line perpendicular to y = rac{1}{3}x + 2 that passes through the point (0, 1).

Back

y = -3x + 1.

Front

What is the slope of a line that is perpendicular to a line with a slope of 5?

Back

The slope is -rac{1}{5}.