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 negative reciprocals of each other.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 3.

Front

If a line has a slope of 4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/4.

Front

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

Back

The slope is -2.

Front

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

Back

They are parallel because they have the same slope.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of their slopes is -1.

Front

If a line has a slope of -1/2, what is the slope of a line parallel to it?

Back

The slope of the parallel line is -1/2.

Front

What is the slope of a line that is perpendicular to y = 5x + 1?

Back

The slope is -1/5.