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Mademuasel [1]
1 year ago
9

** 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 =-​

Mathematics
1 answer:
andreev551 [17]1 year ago
8 0

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.

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