Q15 of 169 Page 667

Find the slope and the equation of the line passing through the points:

(a, b) and ( - a, b)


The slope of the equation can be calculated using



m = 0 (Horizontal line)


Now using two point form of the equation of a line



y - b = 0(x - a)


y = b


So, required equation of line is y = b.


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Prove that the points A(1, 4), B(3, - 2) and C(4, - 5) are collinear. Also, find the equation of the line on which these points lie.