Page 124 - Math Course 3 (Book 1)
P. 124

Linear Equations: Rate of Change




        Find Coordinates Given Slope                       Zero Slope

         Example                                            Find the slope of the line that passes through
                                                            (–3, –1) and (5, –1).

                                                            A. undefined
         Find the value of r so that the line through (6, 3) and   B. 8
         (r, 2) has a slope of  1                           C.  2
                            2
              y – y                                         D. 0
               2
         m =   x – x 1 1  Slope formula
               2
         1     2 – 3
         2  =  r – 6     Substitute.                          Answer

         1  =   –1
         2     r – 6     Subtract.                         Undefined Slope
         1  =   –1
         2     r – 6                                        Find the slope of the line that passes through
         2(–1) = 1(r – 6)  Find the cross products.         (5, –1) and (5, –3).
                                                            A. undefined
         –2 = r – 6      Simplify.                          B. 0
                                                            C. 4
         –2 + 6 = r – 6 + 6 Add 6 to each side.             D. 2


            Answer                4 = r

                                                              Answer
         Your Turn!                                        Find Coordinates Given Slope



        Positive Slope                                      Find the value of p so that the line through (p, 4)
                                                            and (3, –1) has a slope of – 5
         Find the slope of the line that passes through (4, 5)                      8
         and (7, 6).                                        A. 5

         A. 3                                               B. –   5
             1                                                  8
         B. –
             3                                              C. –5
         C.  1                                              D. 11
            3
         D. –3                                                Answer
           Answer


        Negative Slope
         Find the slope of the line that passes through
         (–3, –5) and (–2, –7).

         A. 2

         B. –2

         C. –  1
              2
            1
         D.  2
           Answer

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