SOLUTION: Find the value of k if the line joining (4,k) and (3, -1) is parallel to the line y=-1/2x-9/2

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Question 152388: Find the value of k if the line joining (4,k) and (3, -1) is parallel to the line y=-1/2x-9/2
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Note that our m must be =-1/2.
So, we can form an equation with (3,-1)
y-(-1)=-1/2(x-3)
y=-1/2x+1/2
So, this is the line by which we want to find the y value at x=4.
y=-1/2(4)+1/2=-3/2

So, k must be -3/2.
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