SOLUTION: How do you find the value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3

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Question 396206: How do you find the value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3
:
Parallel lines have the same slope, -1%2F4 is the slope in this problem
Use the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the give points as follows
x1=k; y1=-10
x2=5; y2=-6
:
%28-6-%28-10%29%29%2F%285-k%29 = -1%2F4
%28-6%2B10%29%2F%285-k%29 = -1%2F4
4%2F%285-k%29 = -1%2F4
cross multiply
4*4 = -1(5-k)
16 = k - 5
16 + 5 = k
k = 21
:
:
Check this using substitution in the slope formula