Understanding Slope and Unit Rates

This video tutorial covers the relationship between unit rate and slope, explaining how to calculate slope using the formula and providing examples with graphing. It emphasizes the importance of using grid lines for accurate slope determination and illustrates practical applications of unit rate in real-world scenarios. The lesson concludes with a transition to the next topic on graphing proportional relationships.

What is a unit rate?

• A type of graph

• A measure of speed

• A rate in which the second quantity is one unit

• A comparison of two quantities with the same units

How is the slope of a line calculated?

• By dividing the x-values by the y-values

• By multiplying the x-values and y-values

• By adding the x-values and y-values

• By subtracting the first y-value from the second y-value and dividing by the difference in x-values

What does a slope of 2 over 1 represent?

• Two units of y for every one unit of x

• Two units of x for every one unit of y

• A decrease in y as x increases

• A horizontal line

In the example of Dave hiking, what is the unit rate of his hike?

• 4 miles per hour

• 6 miles per hour

• 3 miles per hour

• 2 miles per hour

Why is it easier to find the slope using points at the intersection of grid lines?

• Because it makes the graph look better

• Because it allows for more points to be used

• Because it reduces calculation errors

• Because it simplifies the calculation of rise and run

If a line passes through the points (1, 2) and (2, 4), what is the slope?

• 3

• 4

• 1

• 2

What is the unit rate if Bob eats 2 hot dogs in 3 minutes?

• 2 hot dogs per minute

• 2/3 hot dog per minute

• 3 hot dogs per minute

• 1 hot dog per minute

How does the unit rate relate to the slope of a line?

• The unit rate is always greater than the slope

• The unit rate is the slope when the x-value is one

• The unit rate is the inverse of the slope

• They are unrelated

What is the slope if the rise is 2 and the run is 3?

• 3/2

• 2/3

• 1/2

• 3

What does the slope of a line indicate?

• The direction of the line

• The steepness and direction of the line

• The color of the line

• The length of the line