The coordinates of $$\(P\)$$ are $$\((-3,8)\)$$ and the coordinates of $$\(Q\)$$ are $$\((9,-2)\)$$. Find the equation of the perpendicular bisector of $$\(P Q\)$$. .............................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_43 Year:2020 Question No:9(b)(iii)

Answer:

\(y=\frac{6}{5} x-\frac{3}{5}\) oe

Knowledge points:

E3.3 Calculate the length and the coordinates of the midpoint of a straight line from the coordinates of its end 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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