Answer:
y = (-5/3)x + 4
Explanation:
To convert the equation from standard form to slope-intercept form, we need to isolate the y variable on one side of the equation.
First, let’s subtract 5x from both sides of the equation:
5x + 3y = 12
-5x -5x
---------
3y = -5x + 12
Next, we can divide both sides of the equation by 3 to isolate y:
3y/3 = (-5/3)x + 12/3
y = (-5/3)x + 4