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scoundrel [369]
2 years ago
6

Write an equation in slope-intercept form for the line with y-intercept 3 and slope 2?

Mathematics
1 answer:
Murrr4er [49]2 years ago
7 0

Answer:

y=2x+3

Step-by-step explanation:

<u>Slope-intercept form of a linear equation</u>

y=mx+b

where:

  • m = slope
  • b = y-intercept

Given:

  • slope (m) = 2
  • y-intercept (b) = 3

Substituting the given values into the formula:

\implies y=2x+3

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Answer:

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Step-by-step explanation:

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3 years ago
Answer this question please; number 5... show all work thank you
My name is Ann [436]

Answer:

rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour

Step-by-step explanation:

We will make a table of the trip there and back using the formula distance = rate x time

                 d              =            r       x       t

there

back

The distance there and back is 264 miles, so we can split that in half and put each half under d:

               d            =         r        x        t

there    132

back     132

It tells us that the trip there is with the wind and the trip back is against the wind:

           

              d           =        r         x        t

there     132        =    (r + w)

back      132       =     (r - w)

Finally, the trip there took 3 hours and the trip back took 6:

           

             d         =        r        *        t

there    132     =    (r + w)     *       3

back     132     =    (r - w)      *       6

There's the table.  Using the distance formula we have 2 equations that result from that info:

132 = 3(r + w)        and        132 = 6(r - w)

We are looking to solve for both r and w.  We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:

132 = 3r + 3w and

132 - 3w = 3r so

44 - w = r.  Subbing that into the second equation:

132 = 6(44 - w) - 6w and

132 = 264 - 6w - 6w and

-132 = -12w so

w = 11

Subbing w in to solve for r:

132 = 3r + 3(11) and

132 = 3r + 33 so

99 = 3r and

r = 33

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2 years ago
Write an equation of the line below.
katrin [286]
Hello!

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To find the slope just make a growth triangle. We go down twice (then to the right 6 times).
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Answer:

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