MSA MR 2 p.45

 1.  In the equation y=mx+b,  Y is the independent variable which is basically the output, x is the other independent variable which is basically the input, m is the coefficient of x which you could say is the rate at which y goes up by.  And finally, B is the y - intercept which is where the line crosses the y - axis.  

 2a.  You can solve a problem using a graph or table for a linear relationship.  A graph can be used because it shows the relationship between X and Y over a certain amount of time.  It also can give you data about the problem. By using a table you can also see the relationship between x and y.  An example is... Mike is responsible for buying soda for a party, He needs 10 1 liter bottles. He needs to find which store is cheapest for 10 liters.  At store A they sell a 1 liter bottle for $6.00 at store B they sell 1/2 liters bottles for $3.50.  For store A the equation would be C=b6, store B would be C=b3.50 with C= total cost and b=total bottles.  A graph or table come in handy because you are able to see how much it costs for 10 liters of soda for each store.

2b.  Here is an example of a problem that you can solve using. The Problem is Y= 22x+14.  First you want to substitute numbers for variables if possible.  For this question x= 12 so now you can say Y=22(12)+14.  Were trying to find the value of Y so next you want to make sure you do the equation correctly by using correct order of operations.  You want to find 22x12 which is 264.  Now our equation is Y=264+14 so now all thats left is adding so you just do 264+14 which is 278 and that is how you figure out what Y is.