Question

How do you find a standard form equation for the line (5,-7) and is parallel to the line 5y=8-2x?

Answer 1

`2x+5y+25=0`

Explanation:

For a line to be parallel, the gradient must be the same
`5y=8-2x`
`y=8/5-2/5x`

So the gradient is `-2/5`

Using the point gradient formula,
`(y+7)=-2/5(x-5)`
`5y+35=-2x+10`
`2x+5y+25=0`