Question

What is the equation for the line that contains the point `(2,-3)` and is parallel to the line `2x+y=6`?

Answer 1

`y = -2x + 1`

Explanation:

First we convert your equation to `y = mx+c` form:
`2x+y = 6`
`y = -2x+6`
Parallel lines always share the same gradient.
Therefore we know our equation is `y = -2x + c`.
We can determine the `c` value by substituting the known `x` and `y` values.
`-3 = -4 + c`
`1 = c`
Therefore our equation is `y = -2x + 1`.