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Setler [38]
3 years ago
10

Given the line below.

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:

y + 1 = \frac{1}{2} (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )

m = \frac{1-(-1)}{2-(-2)} = \frac{1+1}{2+2} = \frac{2}{4} = \frac{1}{2} and (x₁, y₁ ) = (- 2, - 1 ) , then

y - (- 1) = \frac{1}{2}(x - (- 2) ) , that is

y + 1 = \frac{1}{2} (x + 2)

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#1 #2 #3 & #4 thank you
lubasha [3.4K]
I only (sort of) know 3 and 4

3. Andle 1 is an example of an angle bigger than
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4. If you have a straight line, both angles (or more) added up need to be
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4 years ago
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expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with \alpha.

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of  \alpha by using arctangent:

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In this case you can identify that:

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Therefore, substuting values into  \alpha= arctan(\frac{opposite}{adjacent}), you get that the angle of depression is:

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And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .

For e.g. (2,30 degree), (2,-30 degree) both are correct .

So the given statement is true .

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4 years ago
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Answer:

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