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Margaret [11]
3 years ago
8

Write an equation of the line passing through the points. Write the equation in general form.

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer: y=2x+8

Step-by-step explanation:

(2,12)=(x1,y1)

(-7,-6)=(x2,y2)

(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m

y=mx+b

y=2x+b

insert (2,12) to y=2x+b

12=2*2+b

12=4+b

8=b

y=2x+8

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Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

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Since the vertex is at (0, 0), this means h=0 and k=0:

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Substituting this into the standard form as well as our values for h and k we have:
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