find the ratio in which the y-axis divides the join of line segment joining the points (5,-6)and(-1,-4)

Dear Student!

Let the point (0, α) on the y-axis be a point lying on the line segment joining the points (5, -6) and (-1, -4) that divides this line segment in the ratio k: 1.
Then, by using section formula,
Thus, the ratio at which the y-axis divides the line segment joining the points (5, -6) and (-1, -4) internally in the ratio 5: 1.
 

Cheers!

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