{"id":85739,"date":"2022-05-30T14:12:46","date_gmt":"2022-05-30T08:42:46","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=85739"},"modified":"2022-05-10T14:19:44","modified_gmt":"2022-05-10T08:49:44","slug":"eureka-math-grade-8-module-4-lesson-14","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-8-module-4-lesson-14\/","title":{"rendered":"Eureka Math Grade 8 Module 4 Lesson 14 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 8th Grade Module 4 Lesson 14 Answer Key<\/h2>\n

Eureka Math Grade 8 Module 4 Lesson 14 Exercise Answer Key<\/h3>\n

Exercise 1.
\nFind at least four solutions to graph the linear equation 1x+2y=5.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 2.
\nFind at least four solutions to graph the linear equation 1x+0y=5.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 3.
\nWhat was different about the equations in Exercises 1 and 2? What effect did this change have on the graph?
\nAnswer:
\nIn the first equation, the coefficient of y was 2. In the second equation, the coefficient of y was 0. The graph changed from being slanted to a vertical line.<\/p>\n

Exercises 4\u20136
\nStudents complete Exercises 4\u20136 independently. Students need graph paper to complete the exercises.<\/p>\n

Exercise 4.
\nGraph the linear equation x=-2.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 5.
\nGraph the linear equation x=3.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 6.
\nWhat will the graph of x=0 look like?
\nAnswer:
\nThe graph of x=0 will look like a vertical line that goes through the point (0,0). It will be the same as the y-axis.<\/p>\n

Exercises 7\u20139
\nStudents complete Exercises 7\u20139 independently or in pairs in preparation for the discussion that follows. Students need graph paper to complete the exercises.<\/p>\n

Exercise 7.
\nFind at least four solutions to graph the linear equation 2x+1y=2.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 8.
\nFind at least four solutions to graph the linear equation 0x+1y=2.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 9.
\nWhat was different about the equations in Exercises 7 and 8? What effect did this change have on the graph?
\nAnswer:
\nIn the first equation, the coefficient of x was 2. In the second equation, the coefficient of x was 0. The graph changed from being a slanted line to a horizontal line.<\/p>\n

Exercises 10\u201312
\nStudents complete Exercises 10\u201312 independently. Students need graph paper to complete the exercises.<\/p>\n

Exercise 10.
\nGraph the linear equation y=-2.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 11.
\nGraph the linear equation y=3.
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 12.
\nWhat will the graph of y=0 look like?
\nAnswer;
\nThe graph of y=0 will look like a horizontal line that goes through the point (0,0). It will be the same as the x-axis.<\/p>\n

Eureka Math Grade 8 Module 4 Lesson 14 Exit Ticket Answer Key<\/h3>\n

Question 1.
\nGraph the linear equation ax+by=c, where a=0, b=1, and c=1.5.
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 2.
\nGraph the linear equation ax+by=c, where a=1, b=0, and c=-\\(\\frac{5}{2}\\).
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 3.
\nWhat linear equation represents the graph of the line that coincides with the x-axis?
\nAnswer:
\ny=0<\/p>\n

Question 4.
\nWhat linear equation represents the graph of the line that coincides with the y-axis?
\nAnswer:
\nx=0<\/p>\n

Eureka Math Grade 8 Module 4 Lesson 14 Problem Set Answer Key<\/h3>\n

Students need graph paper to complete the Problem Set.<\/p>\n

Question 1.
\nGraph the two-variable linear equation ax+by=c, where a=0, b=1, and c=-4.
\nAnswer:
\n\"Eureka<\/p>\n

Question 2.
\nGraph the two-variable linear equation ax+by=c, where a=1, b=0, and c=9.
\nAnswer:
\n\"Eureka<\/p>\n

Question 3.
\nGraph the linear equation y=7.
\nAnswer:
\n\"Eureka<\/p>\n

Question 4.
\nGraph the linear equation x=1.
\nAnswer:
\n\"Eureka<\/p>\n

Question 5.
\nExplain why the graph of a linear equation in the form of y=c is the horizontal line, parallel to the x-axis passing through the point (0,c).
\nAnswer:
\nThe graph of y=c passes through the point (0,c), which means the graph of y=c cannot be parallel to the y-axis because the graph intersects it. For that reason, the graph of y=c must be the horizontal line parallel to the
\nx-axis.<\/p>\n

Question 6.
\nExplain why there is only one line with the equation y=c that passes through the point (0,c).
\nAnswer:
\nThere can only be one line parallel to another that goes through a given point. Since the graph of y=c is parallel to the x-axis and it goes through the point (0,c), then it must be the only line that does. Therefore, there is only one line that is the graph of the equation y=c that passes through (0,c).<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 8th Grade Module 4 Lesson 14 Answer Key Eureka Math Grade 8 Module 4 Lesson 14 Exercise Answer Key Exercise 1. Find at least four solutions to graph the linear equation 1x+2y=5. Answer: Exercise 2. Find at least four solutions to graph the linear equation 1x+0y=5. Answer: Exercise 3. What was … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85739"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=85739"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85739\/revisions"}],"predecessor-version":[{"id":137158,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/85739\/revisions\/137158"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=85739"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=85739"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=85739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}