SOLUTION: A line which joins the points p(2,k) and Q(-1,4) is parallel to another line whose equation is 2x+5y-10=0 Find the value of k

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Question 1195375: A line which joins the points p(2,k) and Q(-1,4) is parallel to another line whose equation is 2x+5y-10=0 Find the value of k
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
slope for the given points P and Q
%284-k%29%2F%28-1-2%29
%284-k%29%2F%28-3%29
%28k-4%29%2F3

slope for the given line, -2%2F5

For PARALLEL, the two slopes are equal.
%28k-4%29%2F3=-2%2F5---------Solve this for k.