Finding Slope from a Graph and Given 2 Points

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 line on a graph?

Back

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

Front

What does a negative slope indicate about a line on 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

If the coordinates of two points are (3, 2) and (3, 5), what is the slope?

Back

The slope is undefined.

Front

How do you determine the slope from a graph?

Back

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

Front

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

Back

The slope is 3.

Front

If the slope of a line is 1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move to the right (run), the line rises 1 unit (rise).

Front

What is the slope of the line that passes through the points (1, 1) and (4, 4)?

Back

The slope is 1.