Geometry 3.5 - Equations of Parallel & 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

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If the slopes of two lines are negative reciprocals, what can we say about them?

Back

If the slopes of two lines are negative reciprocals, they are perpendicular.

Front

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

Back

The slope of the line is 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

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

Back

The lines are parallel.

Front

Determine if the lines y = 1/2x + 1 and y = -2x + 3 are parallel, perpendicular, or neither.

Back

The lines are perpendicular.

Front

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

Back

The equation is y = 4x - 2.

Front

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

Back

The equation is y = -1/3x + 7/3.