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 perpendicular lines are negative reciprocals of each other.

Front

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

Back

Two lines are parallel if they have the same slope. For example, in the equations y = mx + b, if both lines have the same 'm', they are parallel.

Front

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

Back

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

Front

What is the slope of a line perpendicular to y = 2x + 5?

Back

The slope of a line perpendicular to y = 2x + 5 is -1/2.

Front

What is the equation of a line parallel to y = -4x + 1 that passes through the point (3, 2)?

Back

The equation is y = -4x + 14.

Front

What is the equation of a line perpendicular to y = 5x - 3 that passes through the point (1, 2)?

Back

The equation is y = -1/5x + 11/5.

Front

What is the equation of a horizontal line that passes through the point (4, 3)?

Back

The equation is y = 3.

Front

What is the equation of a vertical line that passes through the point (2, 5)?

Back

The equation is x = 2.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation of the line and solve for x.