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.

These are the points on the graph!

O year = $41000
1 year = $43000
2 year = $46000
3 year = $48500

List the coordinates of any two points on the graph in (x, y) form.
(___, ___),(___, ___)

Find the equation of this line in slope-intercept form.

If Bob’s salary trend continued, what would his salary be in the year 2008?

Well, we calculated the slope in another of your posts. It was 2500.

That means each year his salary increases by $2500. It shouldn't be too hard to figure out what it is in 2008 with that information.

how would i find the y-intercept?

The y-intercept occurs at x=0, so it's 41,000.

To find the coordinates of any two points on the graph in (x, y) form, we need to identify the years (x-values) and the corresponding salary amounts (y-values) from the given information.

Looking at the provided data, we can see that:

(0, 41000) represents the year 2002 with a salary of $41000,
(1, 43000) represents the year 2003 with a salary of $43000,
(2, 46000) represents the year 2004 with a salary of $46000, and
(3, 48500) represents the year 2005 with a salary of $48500.

So, two possible pairs of coordinates are:
(0, 41000) and (2, 46000), or
(1, 43000) and (3, 48500).

To find the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can use the formula:

m = (change in y)/(change in x)

Using the coordinates (0, 41000) and (3, 48500), we can calculate the slope (m):

m = (48500 - 41000)/(3 - 0)
m = 7500/3
m = 2500

Now, to find the y-intercept (b), we can substitute one of the given points (0, 41000) into the slope-intercept form equation and solve for b:

41000 = 2500 * 0 + b
41000 = b

Therefore, the equation of the line in slope-intercept form is:

y = 2500x + 41000

To find Bob's salary in the year 2008, we need to determine the x-value that represents the year 2008. Since the year 2002 was used as the starting point (t = 0), we need to find the number of years from 2002 to 2008, which is 6 years.

Substituting this value into the equation, we can calculate Bob's salary:

y = 2500 * 6 + 41000
y = 15000 + 41000
y = 56000

Therefore, if Bob's salary trend continued, his salary in the year 2008 would be $56000.