Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that have the same slope and never intersect.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

What does the slope (m) represent in the equation y=mx+b?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

They are parallel.

Front

What is the slope of a horizontal line?

Back

0.

Front

What is the slope of a vertical line?

Back

Undefined.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If the slope of line WX is 1/2 and the slope of line YZ is -2, what can we say about these lines?

Back

They are perpendicular.

Front

What is the equation of a line parallel to y = 3x + 2 that passes through the point (0, 4)?

Back

y = 3x + 4.

Front

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

Back

y = -1/2x + 4.