Parallel & Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are opposite reciprocals.

Front

How do you determine if two lines are parallel from their equations?

Back

Two lines are parallel if they have the same slope in their slope-intercept form (y = mx + b).

Front

How do you determine if two lines are perpendicular from their equations?

Back

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

Front

What is the slope of a line parallel to the line y = 3x + 2?

Back

The slope of a line parallel to y = 3x + 2 is 3.

Front

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

Back

y = -rac{1}{2}x + 4.

Front

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

Back

y = -rac{1}{4}x + rac{9}{4}.

Front

What is the slope of the line y = 5x + 1?

Back

The slope is 5.

Front

If two lines have slopes of 2 and -rac{1}{2}, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

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

Back

The general form is Ax + By + C = 0.