The midpoint

The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form.

Result

y =  -7
f = (Correct answer is: -2x+9) Wrong answer

Solution:

y=f(x)=k⋅ x+q mx=2+82=5 my=5+y2=−1   5+y=(−1)⋅ 2  y=−7
   5=k⋅ 2+q y=k⋅ 8+q 5=k⋅ 2+q (−7)=k⋅ 8+q  2k+q=5 8k+q=−7  k=−2 q=9  f(x)=k⋅ x+q f=−2x+9

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