Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is: m = \frac{rise}{run}.

Front

If a line rises as it moves from left to right, what is the slope?

Back

The slope is positive.

Front

If a line falls as it moves from left to right, what is the slope?

Back

The slope is negative.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope between the points (2, 3) and (5, 7).

Back

The slope is \frac{7-3}{5-2} = \frac{4}{3}.

Front

Find the slope between the points (1, 2) and (4, -1).

Back

The slope is \frac{-1-2}{4-1} = \frac{-3}{3} = -1.

Front

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

Back

The slope is 2.

Front

What is the slope of a line represented by the equation y = -\frac{1}{2}x + 4?

Back

The slope is -\frac{1}{2}.