Slope From Two Points

Front

What is the slope formula?

Back

The slope formula is given by: \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Front

Find the slope of the line that passes through (-12, -5) and (0, -8).

Back

The slope is \( -\frac{1}{4} \).

Front

Use the formula to find the slope between the two points (5, 10) and (8, 12).

Back

The slope is \( \frac{2}{3} \).

Front

Use the formula to find the slope between the two points (-2, 7) and (3, 8).

Back

The slope is \( \frac{1}{5} \).

Front

Use the formula to find the slope between the two points (5, -2) and (5, -7).

Back

The slope is undefined.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a slope of zero indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

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

Front

If the coordinates of two points are the same, what is the slope?

Back

If the coordinates of two points are the same, the slope is undefined.