Finding Slope

Front

What is the formula to find the slope between two points?

Back

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

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

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 points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the points (1, 2) and (1, 5).

Back

Slope = (5 - 2) / (1 - 1) = undefined.

Front

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

Back

A slope of 3 indicates that for every 1 unit the line moves horizontally, it moves up 3 units vertically.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

How do you interpret a negative slope?

Back

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

Front

Find the slope of the points (-1, -1) and (2, 2).

Back

Slope = (2 - (-1)) / (2 - (-1)) = 3 / 3 = 1.