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emmasim [6.3K]
3 years ago
5

Write an equation passing through (-6,5) that is parallel to y=1/2x-7

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

y = 1/2x + 8

Step-by-step explanation:

a parallel equation needs to have the same slope as the given equation (1/2)

what we have so far is

y = 1/2x + b

since we know this has to pass through (-6, 5)

we’ll plug in -6 for x and 5 for y to find b

5 = 1/2(-6) + b

5 = -6/2 + b

5 = -3 + b

8 = b

so web. we plug b back into the equation

the final solution is

y = 1/2x + 8

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What is the solution to 3(1-3x)=2(-4x+7)?
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x = -11

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3(1 - 3x) = 2(-4x + 7)

Distribute the 3.

(3 - 9x) = 2(-4x + 7)

Distribute the 2.

3 - 9x = -8x + 14

Add 8x to both sides.

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Subtract 3 from both sides.

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Multiply by -1.

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