Finding Slope

Front

What is the definition of slope?

Back

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

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

Front

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

Back

Slope = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.

Front

What is the slope of the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the slope of the equation y = -4x + 1?

Back

The slope is -4.

Front

If a line has a slope of \frac{1}{2}, what does this mean?

Back

For every 2 units you move horizontally to the right, you move 1 unit up.