Finding Slope

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

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

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

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

Back

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

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

How do you determine if a slope is steep or gentle?

Back

A larger absolute value of the slope indicates a steeper line; a smaller absolute value indicates a gentler slope.

Front

What is the slope of the line that passes through the points (3, 4) and (6, 4)?

Back

Slope = (4 - 4) / (6 - 3) = 0 / 3 = 0.