Question

The Line joining A(-3,4) and B(2,-10 is parallel
to the joining c (1-2) andD (0,x). the value of × is​

Answer 1

Answer:

the equation of line AB is,

(y-4)/(x+3) = (4+10)/(-3-2)= -14/5

or, 5( y-4 )= -14(x+3)

or, 5y-20= -14x-42

or, 14x+5y=-22

changing (x,y) with (h,k) we get,

14h+5k= -22.......(1)

the equation of line CD is,

(k-x)/h = (x+2)/(-1)

or, -k+x = hx+2h

or, h(x+2)+k =x.......(2)

comparing (1) &(2) , we get,

x+2=14/5

or, 5x +10 =14

or, x=4/5