Q. 10

# Find the equation

Given, A line which divides the join of the points (2,3) and ( – 5,8) in the ratio 3:4

To Find : The equation of the line.

Explanation: The coordinates of the point which divides the join of the points (2,3) and ( – 5,8) in the ratio 3:4 is given by (x,y).

Coordinate of x when line divides in ratio m:n x = x = Coordinate of y when line divides in ratio m:n = y = y = The slope of the line with two points is, m = Now, The slope of joining the points (2,3) and ( – 5,8) = m = The equation of the line is

y y    35y – 180 = 49x + 63

49x – 35y + 229 = 0

Hence, The equation of line is 49x – 35y + 229 = 0

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