Question

How do you write an equation of a line given (5, -2) parallel to line `3y+7x=-8`?

Answer 1

`3y + 7x = 29`

Explanation:

Here's a quick trick: parallel lines in standard form will always have the same coefficients in front of the `x` and `y`. So what we can do is write this equation:

`3y + 7x = ?`

This equation represents every possible line that is parallel to `3y + 7x = -8`, and the value put in place of the question mark determines the placement of that line on the graph. So, to find the equation of the parallel line passing through `(5, -2)`, all we need to do is plug `(5, -2)` into our equation and solve it.

`y = -2`
`x = 5`

`3y + 7x = ?`

`3(-2) + 7(5) = ?`

`-6 + 35 = ?`

`29 = ?`

So we need to replace our `?` with `29`.

`3y + 7x = 29`

Final Answer