Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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 slope using rise/run?

Back

Slope = Rise / Run, where 'rise' is the vertical change and 'run' is the horizontal change between two points.

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 0, 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, as there is no horizontal change (run) and division by zero is not possible.

Front

If a line rises 3 units and runs 6 units, what is the slope?

Back

Front

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

Back

Slope = Rise / Run = -4 / 2 = -2.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x in the equation.

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the rise and run between them, and calculate the slope using the formula Slope = Rise / Run.