Finding slope from a graph

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 slope from a graph?

Back

To calculate slope from a graph, choose two points on the line, find the vertical change (rise) and the horizontal change (run), and then divide the rise by the run (slope = rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value does not change, resulting in a division by zero when calculating slope.

Front

What is a proportional relationship in a graph?

Back

A proportional relationship in a graph is represented by a straight line that passes through the origin (0,0), indicating a constant ratio between x and y.

Front

True or False: A graph with a negative slope is proportional.

Back

False. A graph with a negative slope is not proportional unless it passes through the origin.

Front

True or False: A graph with a zero slope is proportional.

Back

True. A graph with a zero slope is proportional if it passes through the origin.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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