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svp [43]
3 years ago
15

Given the equation y-4=3/4(x + 8) in point-slope form, identifty the equation of the same line in standard form.

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

The point-slope form is y = 3/4x + 10 and the standard form is -3x + 4y = 40

Step-by-step explanation:

In order to find this equation in point-slope form, simply solve for the y value.

y - 4 = 3/4(x + 8)

y - 4 = 3/4x + 6

y = 3/4x + 10

Now to get to the standard form, solve for the constant, then rationalize the denominator.

y = 3/4x + 10

-3/4x + y = 10

-3x + 4y = 40

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Svetllana [295]

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cos(pi) = -1

so many ways :

sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)

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"nicest" approach (all integers) :

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x = 1

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so, y = -3

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