Question

Which equation is parallel to the above equation and passes through the point (35, 30)?Group of answer choicesy=5/7x +79y=5/7x +30y= 5/7x +10y= 5/7x + 5

Answer 1

Notice that all the options contain the term

`(5)/(7)x`

Setting x=35, we obtain

`(5)/(7)(35)=5\cdot5=25`

Finally,

`30=25+5`

Then, the answer is

`\begin{gathered} y=(5)/(7)x+5 \\ \text{set x=35} \\ \Rightarrow y=(5)/(7)\cdot35+5=25+5=30 \end{gathered}`

Option D is the answer, y=5x/7+5.

Notice that all the options have the same slope as that of the line y=5x/+10