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

Answer:

None of them.

Step-by-step 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 $k$.

$2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - \frac{1}{2}x + 4$

Therefore, our line has $k = - \frac{1}{2}$ 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.