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chubhunter [2.5K]
3 years ago
15

(-4,2) ;m=-1/3 You have to use this formula y=mx+b

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

  y = -1/3x +2/3

Step-by-step explanation:

We assume you want the equation of the line through the given point. The point-slope form of the equation is a good place to start.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = -1/3(x +4) . . . . . . fill in given values

  y = -1/3x -4/3 +2 . . . . . eliminate parentheses, add 2

  y = -1/3x +2/3 . . . . . . . simplify

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Solve for w.<br><br> 5w + 9z = 2z + 3w<br><br> w = z<br> w = z<br> w = –2z<br> w = –7z
Semenov [28]

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3 years ago
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

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3 years ago
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