The midpoint

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

Correct answer:

y =  -7
f = -2x+9

Step-by-step explanation:

y = f(x) = k⋅ x +q mx​=22+8​=5 my​ = 25+y​ = −1  5+y=(−1)⋅ 2  y=−7  y=1−7​=−7  y=−7
5=k⋅ 2+q y=k⋅ 8+q 5=k⋅ 2+q (−7)=k⋅ 8+q  2k+q=5 8k+q=−7  Pivot:Row1↔Row2 8k+q=−7 2k+q=5  Row2−82​⋅ Row1→Row2 8k+q=−7 0.75q=6.75  q=0.756.75​=9 k=8−7−q​=8−7−9​=−2  k=−2 q=9  f(x) = k⋅ x +q f=−2x+9

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