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3 years ago

What is the point slope equation ofa line with slope -4 that contains the point (-2, 7)

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer:

The point slope equation: y - 7 = -4(x + 2)

Step-by-step explanation:

The point slope equation formula:

y - y1 = m(x - x1) where m = slope and (x1, y1) is given coordinate point

In this case, the point slope equation:

y - 7 = -4(x - (-2))

y - 7 = -4(x + 2)

Hope it helps

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astraxan [27]

Answer: $4\sqrt{3}$ .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

$D=\sqrt{(d-b)^2+(b-a)^2}$

Distance between points $(-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})$ .

$D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}$

Hence, the correct option is $4\sqrt{3}$ .

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