Parallel and Perpendicular Equations

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 perpendicular lines are negative reciprocals of each other.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of the line y = 4x + 7?

Back

The slope is 4.

Front

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

Back

The equation is y = 3x + 2.

Front

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

Back

The equation is y = 3x - 7.

Front

What is the slope of a line perpendicular to y = 5x - 1?

Back

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

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of the parallel line is also 2.

Front

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

Back

The slope of the perpendicular line is rac{1}{3}.