SOLUTION: write a line in parallel and perpendicular to 2x+y=-4 and the point (-4,-5)

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Question 275192: write a line in parallel and perpendicular to 2x+y=-4 and the point (-4,-5)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2x+y=-4 and the point (-4,-5)
y=-2x-4 (red line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x -4).
This line has a slope (m)=-2.
A parallel line will also have a slope=-2
A perpendicular line will have a slope=1/2 [the negative reciprical of the original slope.
The parallel lin ethrough (-4,-5) is:
-5=-2*-4+b
-5=8+b
b=-5-8
b=-13 the Y intercept.
y=-2x-13 (red line)
-5=-4/2+b
-5=-2+b
b=-5+2
b=-3
y=x/2-3 (green line)
+graph%28+300%2C+300%2C+-10%2C+20%2C+-10%2C+20%2C+-2x+-13%2C+x%2F2+-3%29+ (graph 300x300 pixels, x from -10 to 20, y from -10 to 20, of TWO functions -2x -13 and x/2 -3).