Question

find the ratui in which the y-axis divides the line segment joining the point (4,-6) & (-7,-4).

Answer 1

Answer:

$\frac{4}{7}$

Step-by-step explanation:

here we have to use the ratio formula

x= $\frac{m_{1} x_{2} +m_{2} x_{1}}{m_{1}+m_{2}  }$

y= $\frac{m_{1} y_{2} +m_{2} y_{1}}{m_{1}+m_{2}  }$

here,

x1=4

x2= -7

y1= -6

y2 = -4

y axis = (0,y)

therefore, x = 0

now apply this in the ratio formula

0= $\frac{-7m1+4m2}{m1+m2}$

0(m1+m2)=-7m1+4m2

0= -7m1+4m2

7m1=4m2

$\frac{7m1}{4m2}$=1

$\frac{m1}{m2}$=$\frac{4}{7}$

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