Question

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)

Answer 1

reta a:


`3x-4y=7 \\ -4y=-3x+7 \\ 4y=3x-7 \\ y= (3)/(4)x- (7)/(4)`

reta x:


`y=ax+b`

Retas paralelas possuem coeficientes angulares iguais ⇒ mₐ=mₓ


`y= (3)/(4)x+b`

(-4,-2)


`(3)/(4).(-4)+b=-2 \\ -3+b=-2 \\ b=-2+3 \\ b=1`

∴ y=3/4x+1