Q20 of 112 Page 163

Find the equation of the line whose gradient is and which passes through P, where P divides the line segment joining A(–2, 6) and B (3, –4) in the ratio 2 : 3 internally.

According to the section formula, the coordinates of the point P (x, y) with the given ratio m1 : m2 is


P =





The gradient is the slope, thus the slope of the line is given as


Using the slope –point form, the equation of the line is


y– y1 = m (x– x1)



⇒ 2y – 4 = 3x


⇒ 3x – 2y + 4 = 0


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