What would the given equation be when written in standard form?

Given: y=2/3x-4

1 answer

The given equation, y = 2/3x - 4, is in slope-intercept form. To convert it into standard form, we should have all the variables on one side of the equation and the constant term on the other side.

To do that, we can start by multiplying both sides by 3 (the reciprocal of the coefficient of x) to get rid of the fraction:

3y = 2x - 12

Next, we can move the x term to the left side by subtracting 2x from both sides:

-2x + 3y = -12

Therefore, the given equation written in standard form is -2x + 3y = -12.