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Lesson Plans and Worksheets for Grade 8

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Common Core For Grade 8

### New York State Common Core Math Grade 8, Module 4, Lesson 17

Common Core Math Grade 8, Module 4, Lesson 17 Worksheets (pdf)

### Lesson 17 Student Outcomes

• Students show that the slope of a line joining any two distinct points of the graph of y = mx + c has slope, m.

• Students transform the standard form of an equation into y = - a/b x + c/b.

### Lesson 17 Summary

The line joining two distinct points of the graph of the linear equation y = mx + b has slope m.
The m of y = mx + b is the number that describes the slope. For example, in the equation y = -2x + 4 the slope
of the graph of the line is -2.

### Lesson 17 Classwork

Exercises

1. Find at least three solutions to the equation y = 2x, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

2. Find at least three solutions to the equation y = 3x - 1, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

3. Find at least three solutions to the equation y = 3x + 1, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

4. The graph of the equation y = 7x - 3 has what slope?

5. The graph of the equation y = -3/4 x - 3 has what slope?

6. You have $20 in savings at the bank. Each week, you add $2 to your savings. Let y represent the total amount of money you have saved at the end of weeks. Write an equation to represent this situation and identify the slope of the equation. What does that number represent?

7. A friend is training for a marathon. She can run 4 miles in 28 minutes. Assume she runs at a constant rate. Write an equation to represent the total distance, y, your friend can run in minutes. Identify the slope of the equation. What does that number represent?

8. Four boxes of pencils cost $5. Write an equation that represents the total cost, y, for x boxes of pencils. What is the slope of the equation? What does that number represent?

9. Solve the following equation for y: 9x - 3y = 15, then identify the slope of the line.

10. Solve the following equation for y: 5x + 9y = 6, then identify the slope of the line.

11. Solve the following equation for y: ax + by = c, then identify the slope of the line.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8

Examples, videos and solutions to help Grade 6 students learn the slope of a line joining any two distinct points of the graph of y = mx + c has slope, m

• Students transform the standard form of an equation into y = - a/b x + c/b.

1. Find at least three solutions to the equation y = 2x, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

2. Find at least three solutions to the equation y = 3x - 1, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

3. Find at least three solutions to the equation y = 3x + 1, and graph the solutions as points on the coordinate plane. Connect the points to make a line. Find the slope of the line.

4. The graph of the equation y = 7x - 3 has what slope?

5. The graph of the equation y = -3/4 x - 3 has what slope?

6. You have $20 in savings at the bank. Each week, you add $2 to your savings. Let y represent the total amount of money you have saved at the end of weeks. Write an equation to represent this situation and identify the slope of the equation. What does that number represent?

7. A friend is training for a marathon. She can run 4 miles in 28 minutes. Assume she runs at a constant rate. Write an equation to represent the total distance, y, your friend can run in minutes. Identify the slope of the equation. What does that number represent?

8. Four boxes of pencils cost $5. Write an equation that represents the total cost, y, for x boxes of pencils. What is the slope of the equation? What does that number represent?

9. Solve the following equation for y: 9x - 3y = 15, then identify the slope of the line.

10. Solve the following equation for y: 5x + 9y = 6, then identify the slope of the line.

11. Solve the following equation for y: ax + by = c, then identify the slope of the line.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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