Question

How do you write `y-9=-6(x+9)` in standard form?

Answer 1

`color(red)(6)x + color(blue)(1)y = color(green)(-45)`

Explanation:

The standard form of a linear equation is: `color(red)(A)x + color(blue)(B)y = color(green)(C)`

where, if at all possible, `color(red)(A)`, `color(blue)(B)`, and `color(green)(C)`are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can transform this equation as follows:

`y - 9 = (-6 xx x) - (6 xx 9)`

`y - 9 = -6x - 54`

`color(red)(6x) + y - 9 + color(blue)(9) = color(red)(6x) + - 6x - 54 + color(blue)(9)`

`6x + y - 0 = 0 - 45`

`color(red)(6)x + color(blue)(1)y = color(green)(-45)`