SOLUTION: 1.What the equation of the line passing through (-1, 4) and parallel to y = 2x + 1? 2.If I invest $10,000 at 5% compounded monthly, how much will I have in 8 years? Choose the c

1.  y = mx + b,  where m=slope and, for parallel lines, slopes are equal so m=2.

         y = 2x+b

   We know this line passes through (-1, 4), so  when x=-1, y=4.  This lets you find 'b', the y-intercept:

            4 = 2(-1) + b  

            b = 6  —>   Equation of the line sought is  



2.  Use 

             F = future value

             P = present value

             r = annual % rate (expressed as a decimal)

             n = number of payments per year   

             t = number of years



           dollars



3.  , m can be calculated from 

                   

           y = -3x + b,  use either point to solve for 'b':

               7 = -3(-2) + b  —>  b = 1



               Final version of equation is