Graphing+Straight+Lines

Now attempt the questions below. 1. Complete a table of values for each equation using //x// values of 0, 1 and 2. a) //y// = 3//x// b) //y// = //x// + 1  c) //y// = 5 - //x//  d) //y// = 6//x// - 7  e) //y// = 18 - 5//x//   2. Complete a table of values for these equations and the graph the lines on a separate number plane.    a) //x// + //y// = 3      b) //y// = //x// + 2      c) //y// = //x// + 4      d) //y// = 2//x// - 1      e) //y// = 3//x// - 1       3. Draw the graphs of these equations on the same number plane.  a) y = 2//x// - 2    <span style="font-family: 'Comic Sans MS',cursive;"> b) y = 2//x//     <span style="font-family: 'Comic Sans MS',cursive;"> c) y = 2//x// + 3     <span style="font-family: 'Comic Sans MS',cursive;"> How are these lines alike?     <span style="font-family: 'Comic Sans MS',cursive;">   <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Try the activity from the website below.   <span style="font-family: 'Comic Sans MS',cursive;"> Coordinates     <span style="font-family: 'Comic Sans MS',cursive;">   <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">A point lies on a line if its coordinates satisfy the equation of the line.   <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Example: Does the point (6, 7) lie on the line //y// = 2//x// - 5? <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Substitute //x// = 6 and //y// = 7 into //y// = 2//x// - 5 <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">//y// = 2//x// - 5 becomes 7 = 2 x 6 - 5 which is true. <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Therefore (6, 7) lies on the line //y// = 2//x// - 5 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">4. On which of the following lines does the point (6, 7) lie? <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">a) //y// = //x// + 1 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">b) //x// + 2//y// = 20  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">c) //y// = 3//x// - 4   <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">5. Draw the graph of each line and use it to determine the x- and y-intercept.  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">a) 2//x// + //y// = 2  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">b) 3//x// + //y// = 6  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">c) 2//x// + //y// = 4
 * __<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Graphing Straight Lines __** <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Open this file and save it to your laptop for the notes on today's lesson. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">[[file:2 Graphing Straight Lines.notebook]] <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">