We are given the equation
y = -3/7x - 6
This equation is in slope - intercept form of equation
To change the equation to standard form
Firstly, we need to move x to the other sides
Then, we have
y + 3/7x = -6
Since, we are using interger coefficient, then we need to multiply the equation by 7 inorder to eliminate the fraction
y x 7 + 3/7x * 7 = -6 x 7
7y + 3x = -42
The standard form of the equation is
7y + 3x = -42