Slope-Intercept Form states that in the equation of a straight line y=mx+b the slope is the number represented by m that is multiplied on the x, and b is the y intercept i.,e the point where line cut the vertical y-axis.
Given equation: 5x+2y=3 ……
To convert this equation into slope intercept form;
Subtraction Property of equality states that you subtract the same number from both sides of an equation.
Subtract 5x from both sides in equation ;
or we can write this as;
Division property of equality states that you divide the same number from both sides of an equation:
Divide by 2 from both sides of an equation in 
Therefore, the given equation in slope intercept form is: