Question

the ordinate of a point lying on the line joining the points (6,4) and (7,-5) is -23. Find the co-ordinates of that point​

Answer 1

Answer:

(9,-23)

Step-by-step explanation:

let A = (6,4)

B= (7,-5)

slope of the line AB = -5-4/7-6 = -9

(X1,X2) = (6,4)

the equation of line AB is given by :

y - y1 = m (X - X1)

y -4 = -9(x-6)

9x +y = 58 ........(1)

now , given that the ordinate of the required point is -23

putting y = -23 in (1) we get :

9x -23 =58

9x = 81

x= 9

thus, the ordinates of the required point is (9,-23)