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2 years ago

Write an equation that represents the line. Use exact numbers. (-2,-1) (4,6)

Mathematics

1 answer:

vazorg [7]2 years ago

6 0

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, so let's use those in the picture

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{6 -1}{4 +2} \implies \cfrac{ 5 }{ 6 }$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{5}{6}}(x-\stackrel{x_1}{(-2)})\implies y-1=\cfrac{5}{6}(x+2) \\\\\\ y-1=\cfrac{5}{6}x+\cfrac{5}{3}\implies y=\cfrac{5}{6}x+\cfrac{5}{3}+1\implies y=\cfrac{5}{6}x+\cfrac{8}{3}$

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-0.7y = 9.1 Please help explain as well

Fittoniya [83]

Hope this helps
Answer: y= -13

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3 years ago

There are two numbers that

Mumz [18]

Answer

Step-by-step explanation:

-4*20=-80

-4+20=16

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3 years ago

Read 2 more answers

Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. Find the averag

lions [1.4K]

Just divide 220 by 4 to get the answer. So the answer is 55.

Explanation:

220/4=55

If the drive needs to be completed in 4 hours and the drive is 220 miles then how much mph do they need to go

Miles/hours=miles per hour

Brainliest my answer if it helps you out

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3 years ago

Is Integer a Rational Number?

slava [35]

Hey there!

Before we get to know an Integer and Rational Number, we have to know the Real Number system first.

1. What is Real Number System?

Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.

But do you know that the Real Number system can be broken into two categorizes? And what are them?

Real Numbers can be broken into these main two categorizes which are:

Irrational Number
Rational Number

These numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!

Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.

2. What is Rational Number?

Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!

Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:

Integers - Whole number or number without fraction or decimal.
Fractions and Decimals that can be written in fraction form.

And Integers can also be broken into:

Negative Integers
Zero
Positive Integers

3. Conclusion and Answer

Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.

Hope this helps, and let me know if you have any doubts regarding Real Number system.

6 0

3 years ago

If log 2=a and log 3=b express log 12 in terms of a and b.

Arisa [49]

Answer:

2a +b

Step-by-step explanation:

The rule for logarithms is ...

log(xy) = log(x) +log(y)

Applying this to the given problem, we have ...

log(12) = log(2×2×3)

= log(2) +log(2) +log(3)

= a + a + b

= 2a +b

7 0

3 years ago