Parallel and Perpendicular Lines Flashcard

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m (the opposite reciprocal of m).

Front

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

Back

y = -1/2x + 9/2.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -3.

Front

Determine the slope of the line represented by the equation 2y - 4x = 8.

Back

The slope is 2.

Front

What is the equation of a line that passes through the point (0, 0) and has a slope of 5?

Back

y = 5x.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

Their slopes are opposite reciprocals.

Front

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

Back

y = -x + 5.

Front

What is the slope of a line that is perpendicular to a line with a slope of 4?

Back

The slope is -1/4.

Front

Determine the equation of the line that is perpendicular to y = 1/2x - 3 and passes through the point (4, 1).

Back

y = -2x + 9.