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3 years ago

What is the equation of a line that passes through the points (3,6) and (8, 4)?

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

3 0

Answer:

the one ur on is correct

Step-by-step explanation:

Lera25 [3.4K]3 years ago

3 0

<h2>Answer:</h2>

First, we must determine the slope of the line using slope formula*.

$m = \frac{4 - 6}{8 - 3} = \frac{-2}{5} = -\frac{2}{5}$

Now that we have our slope, we find the y-intercept, or b, by pluging in the slope we found and one of the given points into slope-intercept form**.

$6 = -\frac{2}{5}(3) + b\\\\6 = -\frac{8}{5} + b\\\\ \frac{36}{5} = b$

We can now create the equation of the line.

$m = -\frac{2}{5}$

$b = \frac{36}{5}$

The equation of the line is: $y = -\frac{2}{5}x + \frac{36}{5}$

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Please help can you also explain how you got it please

miss Akunina [59]

Answer:

Step-by-step explanation:

-14 + 2x + 3 = 4x - 13 - 7x

We can first add the numbers and coefficients on either side:

2x - 11 = -3x - 13

Then, we can add 3x to both sides:

5x - 11 = -13

We can add 11 to both sides

5x = -13 + 11 = -2

Lastly, we can divide both sides by 5

x = -2 / 5

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3 years ago

Read 2 more answers

5+1/√7 - √3 + 1/√7 - √3

dimulka [17.4K]

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3 years ago

Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .