Question

What is the parallel of 2x+4y=16

Answer 1

QUESTION: What is the parallel to 2x+4y=16?

CHOICES:

A. y = 2x + 5

B. y = -1/2x + 4

C. y = -1/2x + 8

D. y = -2x + 5

SOLUTION:

We will use the slope-intercept form with the formula:

`\begin{gathered} y\text{ =mx + b} \\ Where\colon \\ \begin{cases}m=\text{slope} \\ b=y\text{ - intercept}\end{cases} \end{gathered}`

NOTE: Equations with the same slope are said to be parallel.

Let's get the slope-intercept form of the question.

`\begin{gathered} 2x\text{ +4y =16} \\ \cdot\text{Transpose 2x to the other side of the equation and change the sign. } \\ 4y\text{ =-2x+16} \\ \cdot\text{Divide both sides by 4.} \\ (4y)/(4)=(-2x+16)/(4) \\ y=-(1)/(2)x+4^{} \end{gathered}`

ANSWER: y = -1/2x +4

Among the choices, it is the letter B.