SOLUTION: Find an equation of the the line satisfying the given conditions. Through (-3, -2); perpendicular to -7x + 9y = -42

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Question 201412: Find an equation of the the line satisfying the given conditions.
Through (-3, -2); perpendicular to -7x + 9y = -42
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-3, -2); perpendicular to
-7x + 9y = -42
9Y=7X-42
Y=7X/9-42/9 THIS LINE HAS A SLOPE=7/9 (RED LINE)
A PERPENDICULAR LINE TO THIS LINE HAS A SLOPE=-9/7
Y=mX+b
-2=-9/7*-3+b
-2=27/7+b
b=-2-27/7
b=(-2*7-27)/7
b=(-14-27)/7
b=-41/7 THIS IS THE Y INTERCEPT.
y=-9x/7-41/7 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+7x%2F9+-42%2F9%2C-9x%2F7+-41%2F7+%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 7x/9 -42/9 and -9x/7 -41/7).