Question

How do you write an equation in standard form for the line through (7,9), parallel to `x+4y=7`?

Answer 1

`x+4y = 43`

Explanation:

Any line parallel to `x+4y = 7`
can be expressed as `x+4y = k` for some constant `k`

Since `(7,9)` is a point on the desired parallel line:
`color(white)("XXXX")` `k = x +4y = 7 +4(9) = 43`