Question 250469: the line contains the point (-2,3) and is perpedicular to y=2x+7. Find the equation and write answer in slope intercept form.
Answer by actuary(112)   (Show Source):
You can put this solution on YOUR website! The slope of the desired is -(1/2) since the desired line is perpendicular to the given line
So the equation of the desired line in slope intercept form is
y = -(1/2)x+b
Since the point (-2,3) is on the line, this information can be used to solve the equation for "b"
3=-(1/2)(-2)+b (Multiply -(1/2) times (-2) and then solve for b
So b = 1
So the equation is y = -(1/2)x+1
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