The coordinates of two points $$\(A\)$$ and $$\(B\)$$ are $$\((-7,3)\)$$ and $$\((5,11)\)$$ respectively. Show that the equation of the perpendicular bisector of $$\(A B\)$$ is $$\(3 x+2 y=11\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_s20_qp_13 Year：2020 Question No：10(a)
Answer:
Mid-point is \((-1,7)\)
Gradient, \(m\), of \(A B\) is \(8 / 12 \mathrm{OE}\)
\(y-7=-\frac{12}{8}(x+1)\)
\(3 x+2 y=11 \quad \mathbf{A G}\)
Gradient, \(m\), of \(A B\) is \(8 / 12 \mathrm{OE}\)
\(y-7=-\frac{12}{8}(x+1)\)
\(3 x+2 y=11 \quad \mathbf{A G}\)
Knowledge points:
1.3.1 find the equation of a straight line given sufficient information
1.3.2 interpret and use any of the forms in solving problems (Including calculations of distances, gradients, midpoints, points of intersection and use of the relationship between the gradients of parallel and perpendicular lines.)
Solution:
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