LESSON 5 Slope as Unit Rate quick check
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To solve the quick check exercises for Lesson 5 on Slope as Unit Rate, you need to follow these steps:
Exercise 1:
1. Read the problem carefully to understand what it is asking.
2. Identify the two points provided in the problem.
3. Use the formula for slope: slope = (change in y)/(change in x).
4. Substitute the values of the points into the formula and calculate the slope.
Exercise 2:
1. Read the problem and identify the two points given.
2. Calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point.
3. Calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point.
4. Divide the change in y by the change in x to find the slope as a unit rate.
Exercise 3:
1. Read the problem carefully and identify the two coordinates given.
2. Use the slope formula and substitute the given values to find the slope.
3. Simplify the expression to get the slope as a unit rate.
Exercise 4:
1. Carefully read the problem and identify the two points provided.
2. Substitute the coordinates of the points into the slope formula.
3. Simplify the expression to find the slope as a unit rate.
Exercise 5:
1. Read the problem and identify the two coordinates given.
2. Use the slope formula and substitute the given values to find the slope.
3. Simplify the expression to get the slope as a unit rate.
Make sure to show your work and provide clear explanations for your answers.
To find the slope as a unit rate, you will need two points on a line. The slope represents the rate of change between these two points. Here's how to calculate it:
1. Identify two points on the line. Let's call them (x₁, y₁) and (x₂, y₂).
2. Determine the change in y-values (vertical change) between the two points. Subtract the y-coordinate of the first point from the y-coordinate of the second point: y₂ - y₁.
3. Determine the change in x-values (horizontal change) between the two points. Subtract the x-coordinate of the first point from the x-coordinate of the second point: x₂ - x₁.
4. Divide the change in y-values by the change in x-values to find the slope as a unit rate: (y₂ - y₁) / (x₂ - x₁).
After finding the slope, consider its meaning. A positive slope indicates that the line is increasing, while a negative slope indicates that the line is decreasing. A slope of zero means the line is horizontal, and a slope that is undefined means the line is vertical.
Remember to write the slope as a ratio or fraction, simplifying if possible. For example, if the slope is 3/4, it means that for every 4 units of horizontal change, there is a corresponding 3 units of vertical change. This ratio represents the slope as a unit rate.