Question

How do you write `y =-3x` in standard form?

Answer 1

See a solution process below;

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 add `color(red)(3x)` to each side of the equation to transform it to standard linear form:

`color(red)(3x) + y = color(red)(3x) - 3x`

`color(red)(3)x + color(blue)(1)y = color(green)(0)`