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timofeeve [1]
3 years ago
7

Does the equation x2 - 6x + y2 - 6y = -9 intersect the y-axis? A) Yes, it intersects the y-axis at (0, 3). B) Yes, it intersects

the y-axis at (3, 0). C) No, because the circle is entirely in the first quadrant. D) No, because the center is a (3, 3) and the radius is 9.

Mathematics
2 answers:
Dimas [21]3 years ago
8 0

Answer:

The answer to your question is letter A

Step-by-step explanation:

Data

             x² -  6x + y² - 6y = -9

Process

1.- Find the center

            x² - 6x + (  )²  + y² - 6y + (  )² = -9

            x² - 6x + (3)² + y² - 6y + (3)² = -9 + 9 + 9

            (x - 3)² + (y - 3)² = 9

Center = (3, 3)

radius = 3

See the graph below

2.- From the previous information and the graph, we conclude that the equation intercepts the y-axis in (0,3)

liubo4ka [24]3 years ago
7 0

Answer:

it is a

Step-by-step explanation:

its just a

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chubhunter [2.5K]

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

  • Find the slope of the line by using the formula m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • Then use the slope-intercept form of the equation y = m x + b
  • To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵  Points (-2 , -4) and (-3 , -3) lie on the line

∴ x_{1} = -2 and x_{2} = -3

∴ y_{1} = -4 and y_{2} = -3

- Substitute these values in the formula of the slope

∵ m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

4 0
3 years ago
12. Write the slope-intercept form of the equation of the line.
wlad13 [49]

Answer:

The answer is the first choice.

Step-by-step explanation:

We can eliminate choices 2 and 4 because the y-intercept is wrong. The line passes through the y-axis at 3, so you would add 3 after the slope. Now we have choices 1 and 3. Choice 1 is y=-4/5x+3 and choice 3 is y=4/5x+3. When we do rise over run, we can use the points (0,3) and (5,-1). We get -4/5. Therefore, the answer is choice 1.

I hope this helps and please mark me as brainliest!

8 0
3 years ago
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Georgia [21]

Let f(x) = ax+b be the line that passes through both points.

We know that f(5) = 1 and f(8) = -2. So:

\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}

Solving the system, we get that a= -1 and b = 6.

So the line is equal to f(x) = 6-x.

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otez555 [7]

Answer: it is the 4th graph

Step-by-step explanation:

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