# 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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