Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

If the slope of one line is m, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope of the line is 3.

Front

Which of the following equations represents a line parallel to y = 2x + 1? y = 2x - 4 or y = -2x + 1

Back

y = 2x - 4 is parallel to y = 2x + 1.

Front

Determine if the lines y = 4x + 2 and y = 4x - 3 are parallel, perpendicular, or neither.

Back

The lines are parallel because they have the same slope (4).

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope of the line is -1/2.

Front

If two lines have slopes of 5 and -1/5, what can be said about their relationship?

Back

The lines are perpendicular because their slopes are negative reciprocals.

Front

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

Back

The equation is y = 3x - 1.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3.