Ch. 6 Slope from a Graph Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you find the slope from a graph?

Back

To find 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 rise by 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value regardless of the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

In which quadrant is the slope positive?

Back

The slope is positive in Quadrants I and III.

Front

In which quadrant is the slope negative?

Back

The slope is negative in Quadrants II and IV.

Front

What is the slope of the line represented by the points (2, 3) and (5, 8)?

Back

The slope is (8-3)/(5-2) = 5/3.

Front

If a line has a slope of 0, what does it look like on a graph?

Back

A line with a slope of 0 is horizontal, running parallel to the x-axis.