you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.
3x+2y=4
-3x -3x
2y=-3x+4
/2 /2
y= -3/2x+2
the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.
in this equation the slope is -3/2 and the y intercept is (0,2).