Finding Slope from Two Points on a Line

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 the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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

Calculate 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

Calculate the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined because the x-values are the same (4), indicating a vertical line.

Front

If the slope of a line is -3, what does this tell you about the line's direction?

Back

The line falls from left to right, indicating a decrease in y as x increases.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 10).

Back

The slope is m = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2.

Front

What is the slope of the line that passes through the points (-2, 3) and (2, 3)?

Back

The slope is m = \frac{3 - 3}{2 - (-2)} = \frac{0}{4} = 0.