Finding Slope

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 of the line passing through the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Find the slope of the line passing through the points (-2, 3) and (4, -5).

Back

m = (-5 - 3) / (4 - (-2)) = -8 / 6 = -4/3

Front

Find the slope of the line passing through the points (-4, 5) and (-4, 2).

Back

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

Front

If a line has a slope of -1, what does this indicate about the line?

Back

The line decreases at a 45-degree angle from left to right.

Front

Find the slope of the line represented by the equation y = 2x + 3.

Back

The slope (m) is 2.