Question 179701
2x - 3y = -5
2x=3y-5
3y=2x+5
y=2/3x+5/3
Thus, the slope of this line is 2/3.

So the slope of any line perpendicular to it is -3/2.

We use here the <a href="http://www.purplemath.com/modules/strtlneq2.htm">point slope form</a>.

Since the unknown line passes through (3,-2),
y+2=-3/2(x-3)
2y+2=-3(x-3)=-3x+9
3x+2y-7=0>>Ans.

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