Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, 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, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change (run) while there is a vertical change (rise).

Front

How do you calculate slope using rise/run?

Back

Slope (m) = rise/run, where 'rise' is the vertical change and 'run' is the horizontal change between two points.

Front

If a line rises 3 units and runs 1 unit, what is the slope?

Back

The slope is 3, calculated as slope = rise/run = 3/1.

Front

If a line falls 2 units and runs 4 units, what is the slope?

Back

The slope is -0.5, calculated as slope = rise/run = -2/4.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

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

Front

What is the slope of a line that goes through the points (2, 3) and (2, 5)?

Back

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