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NikAS [45]
3 years ago
15

Write an equation of the line in slope-intercept form

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

Answer:

y = 2x - 2

Step-by-step explanation:

Starting from the y-intercept of [0, −2], you do \frac{rise}{run}by either moving two blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or two blocks <em>north</em><em> </em>over one block <em>east</em> [<em>west</em> and <em>south</em> are negatives].

I am joyous to assist you anytime.

Agata [3.3K]3 years ago
5 0

Answer:

y=2x-2

Step-by-step explanation:

Slope intercept form = y=mx+b

Where m=slope and b= y intercept

Reminder: the y intercept is where x=0

Looking at the graph, the y intercept is given as (0,-2)

There are also two points given (0, -2) and (2,2)

Reminder: to find the slope, divide the changes in y by the changes in x or substitute the numbers into this equation: y2-y1/x2-x1

2-(-2)/2-0=4/2

m=2

Now that we have the slope and y intercept, sbstitute into the equation y=mx+b:

y=2x-2

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Flura [38]
<h2>Hello!</h2>

The asnwer is: Cos50° ≈ 0.643

<h2>Why?</h2>

A unit circle is a cirgle with a radius equal of 1, knowing that,  also know the following:

The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:

x=0.643\\y=0.766

So,

Cos50° ≈ 0.643

We can prove that by following the next steps:

- If it's a unit circle,here is a right triangle with hypotenuse of 1,

1^{2}=x^{2}+y^{2}

1^{2}=0.643^{2}+0.766^{2}

1^{2}=0.4134 +0.5867

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- We can determine the cosine of the angle by the following formula:

cos(\alpha)=\frac{x}{hypotenuse} \\cos(\alpha)^{-1}=cos(\frac{0.643}{1})^{-1} \\\alpha=49.98

Therefore,

Cos(α)=49.98°≈50°

Also, if there is a right triangle, according to the Pythagorean Thorem:

1^{2}=(Cos(\alpha))^{2}+(Sin(\alpha))^{2} \\Cos(50)=\sqrt{1-(Sin(50))^{2}}=0.6427

Hence,

Cos50° ≈ 0.643

Have a nice day!

3 0
3 years ago
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What the y-intercept in the equation y= 4x - 3?​
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Answer:

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Step-by-step explanation:

Note the parts of the equation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case: y = 4x - 3

x = x

y  = y

m = slope = 4

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Answer:

Point A

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