SOLUTION: Find an equation of the line through the point (4,5) and perpendicular to the line passing through the points (-1,3) and (2,9).

Question 39282This question is from textbook College Algebra
: Find an equation of the line through the point (4,5) and perpendicular to the line passing through the points (-1,3) and (2,9). This question is from textbook College Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an equation of the line through the point (4,5) and perpendicular to the line passing through the points (-1,3) and (2,9).
The slope of the line thru the given points is [9-3]/[2+1]=2
So, the slope of the line perpendicular to it is m=-1/2
The line has the form y=mx+b with x=-1,y=3, m=(-1/2)
Therefore: 3=(-1/2)(-1)+b
b=5/2
Your equation is y=(-1/2)x+5/2
Cheers,
Stan H.
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