P. 3 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 zero slope?

Back

A zero slope means that the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

How do you find 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

What does a positive slope indicate?

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 is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

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

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line passing through points (2, 3) and (2, 5).

Back

The slope is undefined because the x-values are the same (2), indicating a vertical line.

Front

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

Back

The slope is negative.

Front

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

Back

The slope is positive.

Front

If a line has a slope of 1/2, what does that mean?

Back

For every 2 units you move to the right (increase in x), you move up 1 unit (increase in y).