SOLUTION: I don't understand this: find the value of k if the line joining (4,k) and (3,1) is parallel to the line y=-1/2x-9/2

Question 147837: I don't understand this: 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 Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If lines are parallel, it means their slopes are equal.
The line has a slope of (-1/2).
The formula for the slope given two points is,

For parallel lines, set the slope equal to (-1/2) and solve for k.

Here is a graph of the line, the two points and the new line.
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