8.3.c: Slope (All Forms)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

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

Front

What is the slope of a line that rises from left to right?

Back

Positive slope.

Front

What is the slope of a line that falls from left to right?

Back

Negative slope.

Front

What is the slope of a horizontal line?

Back

Zero slope.

Front

What is the slope of a vertical line?

Back

Undefined slope.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

Slope = (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

What type of slope does the line y = -3x + 2 have?

Back

Negative slope.

Front

What type of slope does the line y = 2x + 1 have?

Back

Positive slope.