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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

y = –x + 1

3x − 4y = −4

4x − 3y = −3

y – 2 = –(x – 4)

y + 2 = (x + 4)

Verified Answer :

FrederikSantAna

reta a:

\(3x-4y=7 \\ -4y=-3x+7 \\ 4y=3x-7 \\ y= \frac{3}{4}x- \frac{7}{4}\)

reta x:

\(y=ax+b\)

Retas paralelas possuem coeficientes angulares iguais ⇒ mₐ=mₓ

\(y= \frac{3}{4}x+b\)

(-4,-2)

\(\frac{3}{4}.(-4)+b=-2 \\ -3+b=-2 \\ b=-2+3 \\ b=1\)

∴ y=3/4x+1

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