SOLUTION: find an equation of the line that contains the point (1,0) and is perpendicular to 2x + y = -4

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Question 305714: find an equation of the line that contains the point (1,0) and is perpendicular to 2x + y = -4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x+%2B+y+=+-4
y=-2x-4
Perpendicular lines have slopes that are negative reciprocals of each other.
m1%2Am2=-1
-2%2Am2=-1
m2=1%2F2
Now that you have the slope of the new line and a point on it, use the point-slope form of a line,
y-yp=m%28x-xp%29
y-0=%281%2F2%29%28x-1%29
y=%281%2F2%29%28x-1%29
2y=x-1
-x%2B2y=-1