Graph a linear equation using a table of values.
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In Lesson 4, students begin to venture beyond proportional relationships and explore linear functions in all four quadrants of the coordinate plane with positive and negative slopes. They start by graphing linear equations using a table of values, a valuable skill for graphing that students had some exposure to in Unit 4 Lesson 7. In the lessons to follow, students will investigate slope and the y-intercept to find more efficient ways to graph linear equations.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example) and Anchor Problem 3 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
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After a house was built, it starts to settle into the ground. Its elevation starts at sea level, and the house sinks $$\frac{1}{2}$$ cm each year.
Emily tells you that she scored 18 points in a basketball game.
Number of Two-Point Baskets | Number of Three-Point Baskets |
Grade 8 Mathematics > Module 4 > Topic B > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Find five solutions for the linear equation $${y=2x-10}$$ to create a table of values. Use a variety of values for $$x$$. Plot the points and graph the situation on the coordinate plane.
Grade 8 Mathematics > Module 4 > Topic B > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Is the point $${(1, 3)}$$ a solution to the linear equation $${5x-9y=32}$$ ? Explain.
Grade 8 Mathematics > Module 4 > Topic B > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Find three solutions for the linear equation $${y+2x=-3}$$, and use them to graph the equation.
Grade 8 Mathematics > Module 4 > Topic B > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?