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Grade 8 HMH Go Math - Answer Keys
Chapter 3: Proportional Relationships; Lesson 2: Rate of Change and Slope
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Independent Practice
Question 10
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Rectangle EFGH is graphed on a coordinate plane with vertices at E(-3, 5), F(6, 2), G(4, -4), and H(-5, -1).
a. Find the slopes of each side.
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Question 10
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b. What do you notice about the slopes of opposite sides?
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Question 10
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c . What do you notice about the slopes of adjacent sides?
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Question 11
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A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour?
Question 12
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Multistep
A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
Question 13
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A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the container has 3 gallons of water left.
a. At what rate is the water leaking?
Question 13
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b. After how many minutes will the container be empty?
Question 14
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Critique Reasoning
Billy found the slope of the line through the points (2, 5) and (-2, -5) using the equation \(\large\frac{2 - (-2)}{ 5 - (-5)} = \frac{2}{5}\) . What mistake did he make?
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