Question

Which equation represents a line which is parallel to the line x + 8y = 56?

Answer 1

Step-by-step explanation

when two lines are parallel, their slopes are equal

if two lines with slope(m1) and slope(2) are parallel,then

`m_(_1)=m_2`

Step 1

convert the function into the form

`\begin{gathered} y=\text{ mx+b } \\ \text{where m is the slope} \end{gathered}`

then,

`\begin{gathered} x+8y=56 \\ i)\text{ subtract x in both sides} \\ x+8y-x=56-x \\ 8y=56-x \\ divide\text{ both sides by 8} \\ (8y)/(8)=(56)/(8)-(x)/(8) \\ \\ y=-(1)/(8)x+7\rightarrow y=mx+b \end{gathered}`

so, the slope of the function we are looking for is -1/8

Step 2