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VikaD [51]
3 years ago
15

Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and  (-2,39) and join them by a straight line. Final graph will look like the attached graph.

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Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.
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Answer:

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Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

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We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

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Multiplying by gallons and dividing by 18 mi/gal, we get

  1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

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b) Same deal, but the miles are unknown.

  (miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

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139 gallons of gasoline will let Mary drive 2502 miles.

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