Finding Slope from a Graph

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, find the rise (change in y) and run (change in x), then use the formula m = rise/run.

Front

If a line rises from left to right, what can you say about its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

The slope is negative.

Front

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

Back

The slope is 3.

Front

What does a slope of 1/2 mean in terms of rise and run?

Back

For every 2 units you move right (run), you move up 1 unit (rise).