$$\(A\)$$ is the point $$\((1,5)\)$$ and $$\(B\)$$ is the point $$\((3,9)\)$$. $$\(M\)$$ is the midpoint of $$\(A B\)$$. Find the equation of the line that is perpendicular to $$\(A B\)$$ and passes through $$\(M\)$$. Give your answer in the form $$\(y=m x+c\)$$. $$\[ y=............................................. \]$$
Exam No：0580_s21_qp_43 Year：2021 Question No：4(a)(ii)
Answer:
\(-\frac{1}{2} x+8\)
Knowledge points:
E3.6 Find the gradient of parallel and perpendicular lines. (e.g. find the gradient of a line perpendicular to y = 3x + 1.) (e.g. find the equation of a line perpendicular to one passing through the coordinates(1, 3) and (–2, –9).)
Solution:
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