Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

Find the slope of the line passing through the points (2, 3) and (5, 11).

Back

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

Front

Find the slope of the line passing through the points (-1, 4) and (3, 4).

Back

Slope = (4 - 4) / (3 - (-1)) = 0.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line falls as it moves from left to right.

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

Slope = (8 - 0) / (4 - 0) = 2.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope is 0.