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

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

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

Front

Find the slope of the line that passes through the points (1, 2) and (3, 4).

Back

m = \frac{4 - 2}{3 - 1} = 1.

Front

Find the slope of the line that passes through the points (-1, -9) and (5, -6).

Back

m = \frac{-6 - (-9)}{5 - (-1)} = \frac{3}{6} = \frac{1}{2}.

Front

Find the slope of the line that passes through the points (3, 9) and (-2, 8).

Back

m = \frac{8 - 9}{-2 - 3} = \frac{-1}{-5} = \frac{1}{5}.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If two points have the same y-coordinate, what can be said about the slope?

Back

If two points have the same y-coordinate, the slope is 0, indicating a horizontal line.