Question

Find the ratio in which the line segment joining the points ( - 3, - 4 ) and ( 1, - 2 ) is divided by y- axis ?​ ​

Answer 1

HEY MATE

if a line segment is divided by y axis ,then:

   A                                 P                               B

      ' ---------------------------'----------------------------'

     (-3,-4)                       (0,y)                          (1,-2)  

                                       k:1

now

let the ratio be k : 1

BY SECTION FORMULA

So, the coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2), internally, in the ratio m1 : m2 are

P(x,y) = { (m1x2 + m2x1)/(m1 + m2 ) ,  (m1y2 + m2y1)/(m1 + m2 ) }

P(0,y) = { (k[1] + 1[-3] / k+1 )   ,   k[-2] + 1[-4] / k+1)  }

          ={ k -3 /k+1} , {-2k -4 / k+1}

-----------comparing x axis--------------

0 = k-3/k+1

k = 3

SO THE RATIO IS 3 : 1

u can also find the point in which the ratio divides the 2 points

BY COMPARING y-axis  

BUT QUESTION HAS ASKED FOR RATIO

SO U WILL NOT FIND THE POINT AS IT IS NOT ASKED

:-)  :-) :-) :-) :-)

hopes this helps

PLZ  MARK AS BRILLIANEST

Answer 2

Step-by-step explanation:

answe is 3:1 explained in attachment