Finding slope from Two-Points

Front

What is the formula to find the slope 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 indicate?

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?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

Calculate the slope between the points (2, 3) and (4, 7).

Back

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

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2.

Front

Find the slope of the line that passes through the points (5, 5) and (5, 10).

Back

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

Front

What is the slope of the line that passes through the points (0, 0) and (0, 5)?

Back

The slope is undefined because the line is vertical.

Front

Calculate the slope between the points (-1, -1) and (2, 3).

Back

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