Your first step to putting x+3y=3 into slope-intercept form is to move x to the other side using subtraction.
x+3y= 3
-x____-x
3y=-x+3
And the final step is to divide both sides by 3 so that you can isolate y and achieve slope-intercept form.
3y=-x+3
/3 /3
y=-1/3x+1
So, x+3y=3 in slope-intercept form would be y=-1/3x+1, where the slope (rise/run) is -1/3 and the line intersects the y-axis at point (0,1).
Remember, in y=mx+b, m represents slope and b represents the y-intercept of the equation's line when graphed.
