Answers

1. okay so the y intercept would be “b” in the y=mx + b formula and since u have slope already we know our “m” is 3/2
   and luckily we have 2 points to help us find the y intercept first thing we’d do is plug these numbers into our formula and since we know we already have 2 points we can use “4” for our x and “3” for our y

   so y=4 m=3/2 x=4 and b is our unknown

   we have to solve 3=3/2(4)+b for b now

   and we get b=-3 we can check this as well by plugging in -3 and seeing if we get the same awser which is “3”

   Reply
2. So you have the begining of the equation:

       y = 3/2 x + b

   To find the b, you substitute in x=4 and y=3 (from 4,3):

      3 = 3/2 · 4 + b

   Solving that…

       3 = 6 + b

      -3 = b

   So your line is:  y = 3/2 x – 3.

   It’s also a good idea to double check, but substituting in just the x-value and seeing if it gives you the correct y-value:

      y = 3/2 · 4 – 3

      y = 6 – 3

      y = 3

   Yup, that checked.

     

   Reply