Slope from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated 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 from a graph?

Back

To calculate the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and then divide the rise by the run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is zero, leading to division by zero.

Front

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

Back

The slope of a line that goes down from left to right is negative.

Front

If a line has a slope of 1/3, what does this mean?

Back

A slope of 1/3 means that for every 3 units you move horizontally to the right, you move 1 unit up vertically.

Front

What is the slope of a line with coordinates (2, 3) and (5, 6)?

Back

The slope is (6-3)/(5-2) = 3/3 = 1.

Front

What is the slope of a line with coordinates (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.