A3B-Slope from two points

Front

What is the formula to calculate 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 it mean if the slope of a line is positive?

Back

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

Front

What does it mean if the slope of a line is negative?

Back

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

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates are the same and there is no change in the x-coordinate.

Front

Calculate the slope of the line through the points (-22, 9) and (5, -9).

Back

The slope is m = \frac{-9 - 9}{5 - (-22)} = \frac{-18}{27} = -\frac{2}{3}.

Front

Calculate the slope of the line through the points (10, 1) and (5, 2).

Back

The slope is m = \frac{2 - 1}{5 - 10} = \frac{1}{-5} = -\frac{1}{5}.

Front

Calculate the slope of the line through the points (6, 7) and (4, 2).

Back

The slope is m = \frac{2 - 7}{4 - 6} = \frac{-5}{-2} = \frac{5}{2}.

Front

Calculate the slope of the line through the points (-8, 4) and (-5, 1).

Back

The slope is m = \frac{1 - 4}{-5 - (-8)} = \frac{-3}{3} = -1.

Front

Calculate the slope of the line through the points (7, -1) and (7, -5).

Back

The slope is undefined because the x-coordinates are the same (7).