Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

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

Front

What type of slope is represented by a line that rises from left to right?

Back

Positive slope.

Front

What type of slope is represented by a line that falls from left to right?

Back

Negative slope.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

For every 2 units of rise, there is 1 unit of run.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 1).

Back

Slope = (1 - 3) / (5 - 2) = -2 / 3 = -2/3.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.