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.

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 using their slopes?

Back

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

Front

How do you determine if two lines are perpendicular using their slopes?

Back

If the product of the slopes of two lines is -1, the lines are perpendicular.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

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

Back

The slope of the perpendicular line is -1/3.

Front

What is the equation of a line in slope-intercept form with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Front

Are the lines represented by the equations y = 2x + 1 and y = 2x - 4 parallel, perpendicular, or neither?

Back

They are parallel.

Front

Are the lines represented by the equations y = 1/2x + 3 and y = -2x + 1 parallel, perpendicular, or neither?

Back

They are perpendicular.