Question

Write the equation in standard form with integer coefficients. $$y=2 x-9$$

Short answer

The equation in standard form with integer coefficients is \(2x - y = 9\).

Step-by-step solution

Write the provided equation

The provided equation is \(y = 2x - 9\).

Rearrange the equation into standard form

To rearrange the equation into standard form, subtract 2x from both sides of the equation. This results in the equation as \(-2x + y = -9\).

Make the coefficient of x as a positive integer

To make the coefficient of x as a positive integer, multiply every term of the equation by -1. This transforms the equation into \(2x - y = 9\).