MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
Consider the points A(2,3), B(k,5) and C(8,9) in the Cartesian plane.
(a) Determine the value of k for which the three points are collinear.
(b) For the value of k obtained in part (a), write the equation of the straight line passing through these points in slope–intercept form.