Answer :
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 [tex]y = kx + b[/tex]: [tex]k[/tex] is the slope or gradient of the line, [tex]b[/tex] 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 [tex]k[/tex].
[tex]2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - \frac{1}{2}x + 4[/tex]
Therefore, our line has [tex]k = - \frac{1}{2}[/tex] and [tex]b = 4[/tex] coefficients.
(A) [tex]k = 2, b = 5;[/tex]
(B) [tex]k = -1, b = 4;[/tex]
(С) [tex]k = -1, b = 8;[/tex]
(D) [tex]k = 2, b = 5;[/tex]
Recapitulating this: none of them have the same coefficient [tex]k[/tex], thus none of them suit us.