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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)

Respuesta :

FrederikSantAna
reta a:

[tex]3x-4y=7 \\ -4y=-3x+7 \\ 4y=3x-7 \\ y= \frac{3}{4}x- \frac{7}{4} [/tex]

reta x:

[tex]y=ax+b[/tex]

Retas paralelas possuem coeficientes angulares iguais ⇒ mₐ=mₓ

[tex]y= \frac{3}{4}x+b [/tex]

(-4,-2)

[tex] \frac{3}{4}.(-4)+b=-2 \\ -3+b=-2 \\ b=-2+3 \\ b=1 [/tex]

∴ y=3/4x+1

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