Question 1001794
The slope-intercept form of the line is 6y=-4x+3; y=(-2x/3)+(1/2)
The perpendicular line has the negative reciprocal slope or 3/2.
point slope formula
y-10=(3/2)(x+12)
y-10=(3x/2)+18
y=(3x/2)+28
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y=3x/4 -5. For slope intercept form y-mx+b, m ix the slope and b is the y-intercept.  When you are given both the slope and the y-intercept, you can literally write the equation down.  y=(3/4)x -5 
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slope is -1-(-9) or 8 divided by 3-1 or 2.  Slope is 4
point slope formula
y+1=4(x-3)
y+1=4x-12
y=4x-13
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{{{graph(300,200,-10,10,-9,9,(-2x/3)+(1/2),(3x/2)+18)}}}
{{{graph(300,200,-10,10,-10,10,(3x/4)-5)}}}
{{{graph(300,200,-10,10,-15,10,4x-13)}}}