Question

If S(0,6) and T(-10,-1) are the endpoints of directed line segment ST. What is the y coordinate of the point that divides the segment into a ratio of 3:4

Answer 1

The y coordinate is 3

Explanation:

Here, we want to find the y-coordinate of the line that divides the line segment in the given ratio.

To calculate this, we shall be using the internal division formula;

It is as follows;

( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

In this question;

m = 3 and n = 4

x1 = 0 , y1 = 6

x2 = -10, y2 = -1

Now substituting these values into the equation, we have;

(3(-10) + 4(0)/(3 + 4) , (3(-1) + 4(6)/(3+4))

= -30/7 , (-3 + 24)/7

= -30/7 , 21/7

= -30/7 , 3