Types of Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change 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 (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

The line falls from left to right.

Front

What type of slope does the equation y = 2x + 1 represent?

Back

Positive slope.

Front

What type of slope does the equation y = -5x + 3 represent?

Back

Negative slope.