Write y= -2/3x+7 in standard form using integers

To write the equation y = -2/3x + 7 in standard form using integers, we need to eliminate the fraction by multiplying both sides of the equation by a common denominator.

The common denominator of 3 and 1 is 3, so we can multiply both sides of the equation by 3:

3y = -2x + 21

Next, we need to rearrange the equation to have the variables on the same side and the constant term on the other side. We can do this by adding 2x to both sides of the equation:

2x + 3y = 21

Finally, since standard form requires that the coefficient of x is positive, we can multiply the entire equation by -1:

-2x - 3y = -21

Therefore, the equation y = -2/3x + 7 can be written in standard form as -2x - 3y = -21.