Calculating Slope

Front

What is the formula to calculate the slope of a line?

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

Calculate the slope of the line passing through (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?

Back

For every 2 units the line moves horizontally, it moves up 1 unit vertically.

Front

How do you determine if a slope is positive, negative, or zero from a graph?

Back

If the line rises from left to right, it's positive; if it falls, it's negative; if it's horizontal, the slope is zero.

Front

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

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.