College Algebra

These are the points on the graph!

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

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.

List the coordinates of any two points on the graph in (x, y) form.
(___, ___),(___, ___)
b) Find the slope of this line:
Answer:

Show your work here:
c) Find the equation of this line in slope-intercept form.
Answer:
Show or explain your work here:
d) If Bob’s salary trend continued, what would his salary be in the year 2008?
Answer:
Show or explain your work here:

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  1. Find the equation of this line in slope-intercept form.
    Answer:
    Show or explain your work here:
    d) If Bob’s salary trend continued, what would his salary be in the year 2008?
    Answer:
    Show or explain your work here:

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  2. Sorry I didn't see the follow-up on your other question.

    Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept.

    You can easily calculate the slope. It's change in y over change in x. (48500 - 41000)/(3 - 0) = 7500/3 = 2500.

    The y-intercept occurs at x=0, so from what you've provided, it is 41,000.

    Therefore, we have...

    y = 2500x + 41,000

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  3. I'm lost

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  4. What part are you having trouble with?

    Do you understand the equation for slope-intercept form?

    Do you understand how to calculate slope?

    Do you understand how to find the y-intercept?

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  5. No, I don't understand any of it.

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  6. The definition for slope-intercept form is y = mx + b. The m is slope, and b is the y-intercept. It's a definition; you just have to memorize it.

    For two points (x1, y1) and (x2, y2), the slope is (y2 - y1)/(x2 - x1).

    For (4, 2) and (3, -1), the slope is (2 - - 1)/(4 - 3) = (2 + 1) / (4 - 3) = 3 / 1 = 3.

    The y-intercept is where the line crosses the graph on the y-axis. The y-axis crosses the x-axis at x=0, so the y-intercept is always at x=0.

    If you have any questions, let me know.

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