Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,a). If a = 2, which of the following could be the equation of line m, which is perpendicular to line L? Choose one:
A) 2x + y = px + 7
B) 2x + y = –px
C) x + 2y = px + 7
D) y – 7 = x ÷ (p – 2)
E) 2x + y = 7 – px
we need m=p-2, so we should gety=mx+bform in answer choices   (A) 2x+y=px+7 =&gt; y=px-2x+7 =&gt; y=x(p-2)+7. It is what we need   (B) 2x + y = –px =&gt; y=-px-2x =&gt; y=x(-p-2). Wrong   (C) x + 2y = px + 7 =&gt; y=x(p-1/2)+7/2. Wrong   (D) y – 7 = x ÷ (p – 2) =&gt; y=(1/p-2)x+7. Wrong   (E) 2x + y = 7 – px =&gt; y=-px-2x+7 =&gt; y=x(-p-2)+7. Wrong   2x + y = px + 7=2x + y = px + 7nswer
<result>A</result>
Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,a). If a = 2, which of the following could be the equation of line m, which is perpendicular to line L?