In the Standard form any Linear equation, y = ax + b, one of our exercises is to take a real world situation and plug in the numbers and solve for the root, or zero.
My question is this. Is there a general rule, or guideline for explaining which of your known numbers into it's proper place in this equation?
I know that "a" represents the change in the output, or the "y" variable
I'm a little foggy on the others...
Any help would be greatly appreciated!!
I'll add a somewhat different "dictionary" to Jhevon's answer. The a term is often known as the "linear coefficient" (in this case it can also be called the "leading coefficient.") The b term can be called the "constant coefficient" or constant term.
-Dan
Thanks for that information.
I'll use a problem we have worked on. It's all clear to me when it's explained as far as the formula goes, but I'm just a bit foggy on when your given a real world situation and knowing what numbers will represent the various parts of the formula.
For instance if I want to hire an electrician and he charges 50.00/hour with a 35.00 trip charge. He charges the trip charge regardless of whether or not he works as all.
So which parts of the equation would these numbers represent?
y is 50?
x is the number of hours?
correct. since he charges for the trip, when we have zero hours of work, we still pay $35, so when x = 0, y = 35, hence we have the point (0, 35) which is the y-intercept. in addition, he charges $50 per hour, so for x hours, he charges $50x, hence we have the 50x. y, the total charge, is the sum of these, thus, finally, we have y = 50x + 35, which is the line janvdl graphed for us