Algebra+4.3

Assignment 4-3: [|Graphing Linear Equations using Excel Spreadsheet]

After trying the above assignment, graph the following in Excel and answer the following questions:  1.  Graph: y = x, y = x + 4, and y = x -2  a.   How do the slopes of the graphs compare?  b.  Compare the first two graphs, x = y and y = x + 4. How would you obtain the graph of y = x + 4 from the graph of y = x?  c.   How would you obtain the graph of y = x -2 from the graph of y = x?   2.  Graph: y = x, y = 2x and y = (1/3) x   a.    How do the y-intercepts of the graphs compare? <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;"> <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-bidi-font-family: 'Arial Rounded MT Bold'; mso-fareast-font-family: 'Arial Rounded MT Bold'; msobidifontfamily: 'Arial Rounded MT Bold'; msofareastfontfamily: 'Arial Rounded MT Bold'; msolist: Ignore;"> b.  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;">Compare the graphs of y = x and y = 2x <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;"> <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-bidi-font-family: 'Arial Rounded MT Bold'; mso-fareast-font-family: 'Arial Rounded MT Bold'; msobidifontfamily: 'Arial Rounded MT Bold'; msofareastfontfamily: 'Arial Rounded MT Bold'; msolist: Ignore;"> c.  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;">Which is steeper, the first or third graph? <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;"> <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-bidi-font-family: 'Arial Rounded MT Bold'; mso-fareast-font-family: 'Arial Rounded MT Bold'; msobidifontfamily: 'Arial Rounded MT Bold'; msofareastfontfamily: 'Arial Rounded MT Bold'; msolist: Ignore;"> 3. <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;"> Graph: y = x, y = -x, y = -3x and y = (-1/2) <span style="font-family: 'Calibri','sans-serif'; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -11.5pt; position: relative; top: 11.5pt;">  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;">x, <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;"> <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-bidi-font-family: 'Arial Rounded MT Bold'; mso-fareast-font-family: 'Arial Rounded MT Bold'; msobidifontfamily: 'Arial Rounded MT Bold'; msofareastfontfamily: 'Arial Rounded MT Bold'; msolist: Ignore;"> a.  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;"> How are the graphs with negative values of m different than graphs with positive m?  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;"> <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-bidi-font-family: 'Arial Rounded MT Bold'; mso-fareast-font-family: 'Arial Rounded MT Bold'; msobidifontfamily: 'Arial Rounded MT Bold'; msofareastfontfamily: 'Arial Rounded MT Bold'; msolist: Ignore;"> b.  <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast;">Compare all four graphs. Write a summary of your comparison. <span style="font-family: 'Arial Rounded MT Bold','sans-serif'; font-size: 16pt; line-height: 115%;">