Answer:
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 ......[1]
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 [1];
[tex]5x+2y-5x=3-5x[/tex]
Simplify:
[tex]2y=3-5x[/tex] or we can write this as;
[tex]2y=-5x+3[/tex] ......[2]
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 [2]
[tex]\frac{2y}{2} =\frac{-5x+3}{2}[/tex]
On simplify:
[tex]y=-\frac{5}{2}x+\frac{3}{2}[/tex]
Therefore, the given equation in slope intercept form is: [tex]y=-\frac{5}{2}x +\frac{3}{2}[/tex]
