$A$, $B$ and $C$ are the points $A(-6,5)$, $B(9,5)$ and $C(-3,-2)$. Find the equation of

Question

$A$, $B$ and $C$ are the points $A(-6,5)$, $B(9,5)$ and $C(-3,-2)$. Find the equation of line $AC$,[2] the equation of the line that is parallel to $AC$ and passes through $B$,[2] the area of triangle $ABC$,[2] the shortest distance from $A$ to $BC$,[2] the coordinate of point $P$, where the line $AC$ intersects the $x$-axis at $P$.[2]

Accepted Answer

(a) $y=-\frac73x-9$ (b) $y=-\frac73x+26$ (c) $52.5\text{ units}^2$ (d) $7.56\text{ units}$ (e) $(-\frac{27}{7},0)$

2025 GESS PRELIMS P1 Q13

2025 GESS PRELIMS P1 Q13

Solution:

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