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Pepsi [2]
3 years ago
6

Write an equation in slope intercept form that goes through the point (0,-2) and has a slope of 3

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

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

The slope is given, which is 3.

The y-intercept is the value of y when x is 0. In the point (0,-2), x=0 and y=-2; thus, the y-intercept is -2.

Substituting m=3 and b= -2 into the slope-intercept equation gives us:

y = 3x - 2

That's your answer. Let me know if you need any clarifications.

Happy Studying~!

elixir [45]3 years ago
4 0

Answer:

y= 3x -2

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Part a

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earnings:  Let ($3/hr)(b) represents the amount of money earned babysitting for b hour.  Let  ($7/hr)(c) represent the money earned working at landscaping.  These amounts are <em>per week</em>.  The appropriate inequality is  ($3/hr)(b) +  ($7/hr)(c) ≥ $84 per week.  The other inequality is

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Part b:

As before, b + c ≤ 20 hrs/wk.  What happens if Chet spends all his 20 hours babysitting?  To answer this, set c = 0 (no landscaping hours).  Then b ≤ 20 hours.  At $3/hr, he could earn only $60 and have no time left for landscaping.  Not good.

Let's experiment:  suppose he works 15 hours babysitting and 5 hours landscaping.  His earnings would be $45 + $35, or $80.  Still not enough; he wants to earn $84 total.    Let's redistribute his time and try again:  suppose he works 14 hours babysitting and 6 hours landscaping; his earnings would be $42 + $42, or $84.  So {b = 14 hours and c + 6 hours} is a solution.  As we continue to reduce the number of hours Chet works babysitting and correspondingly increase those he works landscaping, his earnings will go up, beyond $84.

Here's a table that summarizes this:

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      15                          5                      $60 (not acceptable)

       14                         6                       $84 (borderline acceptable)

       12                          8                       $36 + $42 = $78 (great)

        6                          14                       $116 (greater still)

         2                          18                     $132

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Summary:  Chet can work anywhere from 0 to 14 hours babysitting and expect to earn $84 or more.

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