The points (2,5), (3, 3) and (k, 1) all lie in a straight line.
(a) Find the value of k.
(b) find the equation of the line
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b)
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-5}{3-2}=-2\)
\(y=m(x-x_1)+y_1\\ y=-2(x-2)+5\)
\(y=-2x+9\)
a)
\(1=-2k+9\\ 2k=8\)
\(k=4\)
!