Finding the Slope From a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) over the change in x (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 (vertical change) and run (horizontal change) between them, 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, 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 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 the run is 0 and division by zero is not possible.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

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

Front

If a line falls 2 units for every 4 units it runs, what is the slope?

Back

The slope is -1/2, calculated as rise/run = -2/4.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3, which is the coefficient of x in the equation.