Question

Dada a equação de reta s: 2x − y + 1 = 0, a equação de reta paralela a s pelo ponto P(1,1) será:
a) 2x − y = 0
b) 2x + y + 1 = 0
c) 2x + y − 1 = 0
d) 2x − y − 1 = 0
e) 2x − y + 2 = 0

Answer 1

$m_{r}=m_{s}=-\dfrac{2}{-1} =2$

$\mathsf{y=y_{0}+m_{r}(x-x_{0})}\\\mathsf{y=1+2(x-1)}\\\mathsf{y=1+2x-2\to~y=2x-1}\\\boxed{\boxed{\mathsf{2x-y-1=0}}}$

$\huge\boxed{\boxed{\boxed{\mathsf{\maltese~~Alternativa~d}}}}$