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How to change the standard form of the equation to slope-intercept form
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When you want to find the slope of the perpendicular line, all you have to do is flip the known slope upside down and make it negative. You know that 
slope is 3 and you know 
is perpendicular. So, just flip 3 upside down into 
and then make it negative, -<span>. If you look at the coordinate grid, you can see that 
crosses the y-axis at 4. When you put those into slope-intercept form you get = -</span>x + 4.