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). Their slopes 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 a line given by the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

y = 3x - 1.

Front

Write the equation of a line perpendicular to y = -rac{1}{2}x + 4 that passes through the point (0, 2).

Back

y = 2x + 2.

Front

What is the slope of the line y = 4x + 1?

Back

The slope is 4.

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 equation of a line that is parallel to y = -x + 3 and passes through (1, 1)?

Back

y = -x + 2.