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 a slope of 2 is -1/2 (negative reciprocal).

Front

What is the equation of a line that passes through the point (0, 0) and has a slope of 4?

Back

y = 4x.

Front

If two lines have slopes of 3 and -1/3, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

What is the slope of a line that is parallel to the line y = 5x + 2?

Back

The slope is 5.

Front

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

Back

y = -2x + 3.

Front

If the equation of a line is y = 1/2x + 4, what is the slope?

Back

The slope is 1/2.

Front

What do we call two lines that never intersect?

Back

Parallel lines.

Front

If a line has a slope of -4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is 1/4 (negative reciprocal).

Front

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

Back

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.