SOLUTION: I have a graph. but i cant put it on here. don't know how. here is what the graph explains. the following graph shows Bob's salary from the year 2002 to the year 2005. He was hire

Question 110632: I have a graph. but i cant put it on here. don't know how. here is what the graph explains.
the following graph shows Bob's salary from the year 2002 to the year 2005. He was hired in the year 2002: therefore t =0 represents the year 2002.
here is some questions for this graph.
1.list the coordinates on the graph in x,y form.
2.find the slope
3.find the equation of this line in slope- intercept form
4 if bob's salary trend continued, what would his salary be in the year 2008?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You haven't provided enough information to answer your questions specifically, because you haven't provided the y, or salary values for each of the x or year coordinates.
:
So, what I'm going to do is make up a set of numbers that describe a linear relationship and answer your questions based on those made-up numbers. Unless we are very, very fortunate, you will have to go back and do the problem over again using the numbers that you are given.
:
I'm going to assume that Bob made $60,000 in 2002, and increased by $5,000 per year for the following three years, so:
:
2002 - 60000
2003 - 65000
2004 - 70000
2005 - 75000
:
Since 2002 is , represent 2002 by x = 0, 2003 by x = 1, etc.
:
The coordinates are therefore:
(0,60000)
(1,65000)
(2,70000)
(3,75000)
:
The slope of a line is given by , so
:

:
The y-intercept is the value of y when x is 0, which is just our first point, so the intercept is 60000. Now we know enough to write the equation in slope intercept form.
:

:
Since 2005 is represented by x = 3, 2008 must be represented by x = 6, so his salary in 2008 at the current rate of increase would be given by:
:

:
Remember to go back and plug in the real numbers from this problem, then re-do the arithmetic.
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