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Agata [3.3K]
3 years ago
8

HELP ME PLEASE!!!!!!!!!!!GIVING BRAINLIEST!!!!!!​

Mathematics
2 answers:
poizon [28]3 years ago
5 0

B. y = \frac{1}{2} x + 1

Aleonysh [2.5K]3 years ago
3 0

Answer:

y = (1/2)x + 1  <---- Answer B

Step-by-step explanation:

In form y = mx + b, m is the slope and b is the y-intercept.

The y-intercept always has an x-coordinate of zero, swe are really asking what is the y-coordinate where the line intercepts the y-axis. Look at the picture. The coordinates where the line intercepts the y-axis are (x, y) = (0, 1).

So the y-intercept is 1.    

b = 1

The slope is the rise (or fall) of the graph as it goes left to right.

We see it goes <u>up</u> 2 units (from y=1 to y=3) in the same interval where it goes to the right 4 units (from x=0 to x=4). So, the rise/run = +2/4 = 1/2.

m = 1/2

Just substitute the values we found for b and m back into "y=mx+b"

y = (1/2)x + 1  <---- Answer B

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The answer to your question is          (x + 3)² + (y + 6)² = 2

Step-by-step explanation:

Endpoints (-4, -7) and (-2, -5)

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1.- Find the length of the radius

   d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }

   d = \sqrt{(-2 + 4)^{2}+ (-5 + 7)^{2}  }

   d = \sqrt{2^{2} + 2^{2} }

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   d = \sqrt{8}

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2.- Find the center

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Ym = \frac{-7 - 5}{2} = \frac{-12}{2} = -6

Center = (-3, -6)

3.- Write the equation

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                                   (x + 3)² + (y + 6)² = 2

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