Finding Slope from Two Points

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{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, 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 mean?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when the line is vertical, indicating that x does not change as y changes.

Front

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

Back

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

Front

Find the slope of the line that passes through the points (-1, -1) and (1, 1).

Back

m = \frac{1 - (-1)}{1 - (-1)} = \frac{2}{2} = 1.

Front

Find the slope of the line that passes through the points (3, 5) and (3, 9).

Back

The slope is undefined because the x-coordinates are the same (3).

Front

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

Back

The slope is undefined because the x-coordinates are the same (0).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.