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Tamiku [17]
3 years ago
6

Write the equation of the line which contain the point (1, 2) and slope = - 4 .

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Step-by-step explanation:

y=mx+c

2=(-4)(1)+c

2=-4+c

c=2+4

c=6

therefore the answer is...

y=-4x+6

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The focus of a parabola is (4,7) and the directrix is y=8.
disa [49]
We know that the x-ordinate of the vertex is x = 4, because the x-ordinate of the vertex will not change.

Now, the definition of a parabola in locus terms is that for any fixed point that lies on the parabolic shape, it is equidistant from the directrix to the fixed point and the focus to the fixed point.

Thus, we can deduce that:
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Now, we know that the latus rectum will be -4a, because the directrix is higher than the y-ordinate of the focus. Thus, we can say that the vertex will be the midpoint of the two points y = 7 and y = 8, because that is the only place where the definition of a parabola works.

Hence, we can say that the vertex lies at (4, 7.5).

Thus, our general form becomes:
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To find a, we can say: 7 = 7.5 + a and 8 = 7.5 - a
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Thus, our equation becomes: (x - 4)² = -2(y - 7.5)
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3 years ago
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Step-by-step explanation:

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