Finding Slope with Points Review (8)

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

Find the slope using points (1, 2) and (3, 4).

Back

m = (4 - 2) / (3 - 1) = 2/2 = 1

Front

What does it mean if the slope is positive?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does it mean if the slope is negative?

Back

A negative slope indicates that as x increases, y decreases.

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

Find the slope using points (-3, 5) and (2, 1).

Back

m = (1 - 5) / (2 - (-3)) = -4 / 5 = -4/5

Front

If the slope of a line is 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates a steep line that rises 3 units for every 1 unit it moves to the right.

Front

Find the slope using points (0, 0) and (4, 8).

Back

m = (8 - 0) / (4 - 0) = 8/4 = 2

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope (m) is -2.