$$\( A \)$$ is the point $$\((3,5)\)$$ and $$\(B\)$$ is the point $$\((1,-7)\)$$. Find the equation of the line perpendicular to $$\(A B\)$$ that passes through the point $$\(A\)$$. Give your answer in the form $$\(y=m x+c\)$$. $$\[ y=........................................................................................... \]$$
Exam No：0580_m20_qp_22 Year：2020 Question No：17
Answer:
\([y=]-\frac{1}{6} x+\frac{11}{2}\) oe
Knowledge points:
E3.4 Interpret and obtain the equation of a straight line graph.
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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