3x+y=5 please explain this equation in step by step
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Name: Date: Graded Assignment Unit Test, Part 2: Slope Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Please make certain to show your work as part of your grade is associated with showing the steps to complete a problem. You want to set things up so that someone else can see the process you used to arrive at your answer. Total score: ____ of 15 points (Score for Question 1: ___ of 6 points) 1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4 x y (b) Use the table of values to graph the line on the coordinate plane provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it’s perfectly okay to upload multiple files. Answer: (Score for Question 2: ___ of 5 points) 2. On the graph below you will find two different triangles, and three points identified along the line. (a) Identify the coordinates of Point A, B, & C? Explain. (b) Does each triangle have the same change in x-values? Explain. (c) Does each triangle have the same change in y-values? Explain. (d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain. Answer: a) b) c) d) (Score for Question 3: ___ of 4 points) 3. The equation y = 17x describes the amount of money Lewis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings Time (h) 3 5 8 10 Money earned ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both. (b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences. (c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent. Please use the graph that has been provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it’s perfectly okay to upload multiple files. Answer: A) B) [Use the graph on the next page for Part C]