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27 July, 02:48

A friend gives you four baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 2x + 4 describes the number of cards, y, you have after x weeks.

Part 1 out of 3

Find and interpret the slope and the y-intercept of the line that represents this situation.

The slope is

, while the y-intercept is

. This equation represents starting with

cards and adding

cards each week.

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Answers (1)
  1. 27 July, 03:46
    0
    The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.

    Step-by-step explanation:

    Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

    Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

    m is the slope b is the y-intercept.

    We have that:

    Slope

    Slope, m=2.

    A slope of 2 indicates that you buy 2 cards per week.

    The y-intercept

    The y-intercept of the line, b=4.

    This is the starting value. In this case, it represents the number of cards you were given by your friend.

    The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
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