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Consider the triangle with vertices A(3,−5), B(1,3) and C(−5,1).
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Find the midpoint of
(i) [AB]
(ii) [AC]
(iii) [BC]
The line segment between a vertex of a triangle and the midpoint of the opposite side is called a median.
Show that the 3 medians of triangle ABC intersect at a point.
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Consider the rational function f(x)=x+33x−1, for x=−3.
For the graph of y=f(x), find
the x-intercept,
the y-intercept,
the equation of the vertical asymptote,
the equation of the horizontal asymptote
The graph of y=f(x) intersects the line y=3−x at P and Q, where the x-coordinate of P is less than that of Q.
Find the coordinates of P and Q.
The line L is perpendicular to P and Q, and intersects y=3−x at point X, the midpoint of P and Q.
Given that [PX]=[QX], find the equation of L in the form y=mx+c.
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