Slope/Rate of Change: Tables, Graphs & 2-Points

Front

What is the definition of slope?

Back

The slope is a measure of the steepness 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 zero indicate about a line?

Back

A slope of zero 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

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

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

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope; it represents how much the dependent variable changes for a unit change in the independent variable.

Front

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

Back

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

Front

What is the slope of a line that is decreasing?

Back

The slope of a decreasing line is negative.

Front

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

Back

For every 1 unit increase in the x-direction, the y-value increases by 3 units.

Front

What is the slope of a line that is increasing?

Back

The slope of an increasing line is positive.