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3 years ago

a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?

Mathematics

1 answer:

Andreas93 [3]3 years ago

8 0

Answer:

y=2x-2

Step-by-step explanation:

the slope is y/x

the slope is 2 or 2/1

subtract 2 from the y value and 1 from the x value

(3-1,4-2) = (2,2)

keep doing this until you get a 0 in the x value

(2-1,2-2) = (1,0)

1 is your x-intercept

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

y=mx+b

m=slope, b=y-intercept

m=2, b=-2

substitute into the equation

y=2x-2

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3 years ago

Which is 3 logx + 4 log(x-2) written as a single logarithm?

fomenos

Answer:

The answer is $12\log{(x(x-2))}$

Step-by-step explanation:

Exponential property of logarithm:

We have that:

$a \log{x} = \log{x^{a}}$

Sum of logarithms:

We have that:

$\log{a} + \log{b} = \log{ab}$

Applying the exponential property:

$3\log{x} = \log{x^3}$

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$\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}$

Exponential property:

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The answer is $12\log{(x(x-2))}$

7 0

3 years ago

Factor each completely. "If non-factorable, write " Non-factorable" n^3-4n^2+6n-24

SIZIF [17.4K]

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3 years ago

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Answer:

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3 years ago

Find the least common denominator. Then express each fraction using the least common denominator.

Rudiy27

Answer:

THE LCM OF 15 AND 20 IS 60

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Step-by-step explanation:

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3 years ago