Slope & Rate of Change

Slope / Rate of Change

Slope or Rate of Change

1. Find the change in the y-values by subtracting from one row to the next.

2. Find the change in the x-values by subtracting from one row to the next.

3. Divide the difference in the y-values by the difference in the x-values.

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Slope from a Table

Multiple Choice

What is the rate of change of the total cost in dollars with respect to the number of additional minutes?

• $0.17 per min

• $0.35 per min

• $0.07 per min

• $0.56 per min

Multiple Choice

What is the slope of the line that passes through the points (10, 18) and (−5, −12)?

• $$\frac{1}{2}$$

• 2

• -2

• $$-\frac{1}{2}$$

Slope from a Graph

• ​Pick 2 points

• Determine if slope is Positive / , Negative \, zero -- , or undefined |

• Draw your step

• m= Rise/Run

Multiple Choice

Which value best represents the rate of change of the volume of water in the fish tank with respect to time?

• -6 L/min

• 6 L/min

• $$-\frac{1}{6}$$ L/min

• $$\frac{1}{6}$$ L/min

Poll

The slope of the graph is $$\frac{1}{2}$$ .

• True

• False

Multiple Choice

A line is graphed on a coordinate grid.  Which statement best describes the line?

• The equation of the line is x = 6, and the slope is equal to 0.

• The equation of the line is y = 6, and the slope is equal to undefined.

• The equation of the line is y = 6, and the slope is equal to 0.

• The equation of the line is x = 6, and the slope is equal to undefined.

The slope is the coefficient of the x term in each of the two forms above.

Slope is 'm'

​Standard:

Multiple Choice

Which value represents the rate of change of y with respect to x for this function? 

$$\frac{2}{5}x-\frac{4}{7}y=\frac{3}{2}$$

• $$-\frac{21}{8}$$

• $$\frac{8}{35}$$

• $$-\frac{6}{7}$$

• $$\frac{7}{10}$$