Slope from a Graph

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward line on a graph.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward line on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where the y-value remains constant as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant as the y-value changes.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

Find the slope between the points (2, 3) and (4, 8).

Back

Slope = (8 - 3) / (4 - 2) = 5/2.

Front

Find the slope between the points (1, 2) and (3, -1).

Back

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

Front

Find the slope between the points (0, 0) and (4, 4).

Back

Slope = (4 - 0) / (4 - 0) = 1.

Front

What is the slope of a line that goes straight up?

Back

The slope is undefined because the x-value does not change.

Front

What is the slope of a line that goes straight across?

Back

The slope is zero because the y-value does not change.