Question

** Which of the following is parallel to the line 2x + 4y = 16 (A) y = 2x + 5 (B) y = -x + 4 (C) y = -x + 8 (D) y = 2x + 5 =-​

Answer 1

None of them.

Explanation:

Each and every straight line is of one kind in terms of its pattern: it can be presented in the view of
`y = kx + b`:
`k` is the slope or gradient of the line,
`b` is the y-intercept of the line. I will not let the cat out of the bag if I say that any parallel lines do not intersect one another, hence they should have the same value of coefficient
`k`.

`2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - (1)/(2)x + 4`

Therefore, our line has
`k = - (1)/(2)` and
`b = 4` coefficients.

(A)
`k = 2, b = 5;`

(B)
`k = -1, b = 4;`

(С)
`k = -1, b = 8;`

(D)
`k = 2, b = 5;`

Recapitulating this: none of them have the same coefficient
`k`, thus none of them suit us.