Question

Which of the following lines is PARALLEL to the graph of y=6x−3 ?

Answer 1

Step-by-step explanation:

Let,

r≡y=−6x+3.(1)

Let, s be the parallel to r by P(−1,4) . Let’s write the equation of s in the following explicit form:

s≡y=mx+n.(2)

Parallel lines have equal slopes,

s∥r⇒m=−6.(3)

So,

s≡y=−6x+n.(4)

Since P(−1,4)∈s, the coordinates of P must satisfy equation (4),

4=−6⋅(−1)+n⇒n=−2.(5)

Hence,

s≡y=−6x−2.