SOLUTION: If the points (4,2) and (-1,k) are on a line that is perpendicular to the line y=2x+1, what is the value of k? * Please write in clear Algebric form so I can apply the same met

Question 1006535: If the points (4,2) and (-1,k) are on a line that is perpendicular to the line y=2x+1, what is the value of k?
* Please write in clear Algebric form so I can apply the same method to other problems similar to this one. I really appreciate your help. Thanks!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If the points (,) and (,) are on a line that is perpendicular to the line , what is the value of ?
the line has a slope
a line that is perpendicular to the line will have a slope (negative reciprocal)
so, its equation, so far, is
since it passes through the points (,) , we will use it to find

so, equation is:

now use (,) to find which represents coordinate

so, the point is (,) =(,)

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