Slopes of Parallel and Perpendicular lines

Front

What is the slope of a line that passes through the points (0, 3) and (-4, 8)?

Back

Slope = (y2 - y1) / (x2 - x1) = (8 - 3) / (-4 - 0) = -5/4.

Front

What is the slope of a line that passes through the points (0, 5) and (5, 9)?

Back

Slope = (9 - 5) / (5 - 0) = 4/5.

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular because the product of their slopes is -1 (2 * -1/2 = -1).

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have equal slopes.

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

Find the slope of the line that passes through the points (-4, 7) and (-6, -4).

Back

Slope = (y2 - y1) / (x2 - x1) = (-4 - 7) / (-6 + 4) = -11 / -2 = 11/2.

Front

Are the lines with slopes 3/4 and 3/4 parallel, perpendicular, or neither?

Back

They are parallel because they have equal slopes.

Front

What slope is parallel to m = 3/4?

Back

The slope parallel to m = 3/4 is also 3/4.

Front

If a line has a slope of 5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/5 (negative reciprocal).

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.