Write y = –2/3 x + 7 in standard form using integers.
To write y = –2/3 x + 7 in standard form using integers, we need to get rid of the fraction. Multiply the entire equation by 3 to get:
3y = -2x + 21
Now, we want the equation to have integers for the coefficients of x and y, so let's multiply both sides by -1 to get rid of the negative sign:
-3y = 2x - 21
Now, move all the terms to one side of the equation:
2x + 3y = 21
Thus, the standard form of y = –2/3 x + 7 is 2x + 3y = 21.