Respuesta :
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:
[tex]\begin{gathered} y\text{ =mx + b} \\ Where\colon \\ \begin{cases}m=\text{slope} \\ b=y\text{ - intercept}\end{cases} \end{gathered}[/tex]NOTE: Equations with the same slope are said to be parallel.
Let's get the slope-intercept form of the question.
[tex]\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.} \\ \frac{4y}{4}=\frac{-2x+16}{4} \\ y=-\frac{1}{2}x+4^{} \end{gathered}[/tex]ANSWER: y = -1/2x +4
Among the choices, it is the letter B.
