Question

in what ratio is the line joining the points p(4 , 2) and q(3 , -5) divided by the x axis ? also find the coordinates of the point of intersection​

Answer 1

Answer:

Ratio = 2:5   coordinates of the point of intersection​ ( 26/7, 0)

Step-by-step explanation:

Given p(4 , 2) and q(3 , -5)

The line passes through x-axis  = (x,0)

Ratio=?

=> (m1y2+m2y1)/m1+m2 = 0

=> m1y2+m2y1 = 0

=> -5m1 + 2m2 = 0

=> -5m1 = -2m2

=> m1/m2 = -2/(-5)

=> m1/m2 = 2/5

=> m1: m2 = 2:5

Therefore Ratio = 2:5

coordinates of the point of intersection​ ( x, 0)

  So find x.

=> (m1x2 + m2x1) / m1+m2 = x

=> (2x3 + 5x4)/ 2+5 = x

=> (6+20) / 7 = x

=> 26/ 7 = x    (convert to mixed number)

coordinates of the point of intersection​ ( 26/7, 0)