Question

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

Answer 1

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