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Gnoma [55]
3 years ago
11

Which line has a slope of frac{1}{3} and goes through (3, -1)?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:

y=1/3x - 2

Step-by-step explanation:

The question asks for the equation of a line with a slope of 1/3 and passes through point (3,-1)

The equation for  the line in the slope intercept form is written as y=mx+c where m is the gradient and c is the y-intercept

But you know m=Δy/Δx  where Δx =x-3  and Δy=y--1

\frac{1}{3} =\frac{y--1}{x-3}

cross-multiply

\frac{1}{3} =\frac{y+1}{x-3} \\\\\\1(x-3)=3(y+1)\\\\\\x-3=3y+3\\\\-3-3=3y-x\\\\-6=3y-x\\

Divide every term by 3

-2=y-\frac{1}{3} x\\\\\\-2+\frac{1}{3} x=y

The line is

y=\frac{1}{3} x-2

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Answer:

16 people

Step-by-step explanation:

Given that :

Number of people to tour = 80

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Total number of people who make up the entire groups :

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The parents' club will need 100 of the same item for international night. They have a budget of $250. The choices are 100 baseba
Nuetrik [128]

Answer:

The parents' club can afford to buy 100 Baseball hats or 100 sports bottles.

Step-by-step explanation:

Given:

Item to be bought = 100

Total Budget = $250

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