Question

Find the ratio in which
$( - \frac{2}{9} \: and \: - \frac{20}{7} )$
divides the join of points (-2,-2) and (2,-4)....


help me to find it...​

Answer 1

Answer:

Let the ratio be m1 : m2

The x co-ordinate of the point that divides 2 points in the ratio m1 : m2 is given by:

x = (m1 x2 + m2 x1) / (m1 + m2)  

or -2/7 = [(m1 * 2 + m2 * (-2)] / (m1 + m2)

or -2 * (m1 + m2) = 7 * (2 m1 - 2 m2)

or m1 + m2 = - 7 m1 + 7 m2

or m1 + 7 m1 = 7 m2 - m2

or 8 m1 = 6 m2

or m1 / m2 = 6 / 8 = 3/4

so, m1 : m2 = 3 : 4

Step-by-step explanation: