Question

in what ratio does the point ( 24/11,y) divide the line segment joining the points P(2.-2) and Q(3,7) ?

Answer 1

Answer:

  PX : XQ = 2 : 9

Step-by-step explanation:

You want the proportions into which the point (24/11, y) divides the segment from P(2, -2) to Q(3, 7).

Ratio

The ratio of  the lengths of the segments is ...

  $\dfrac{\dfrac{24}{11}-2}{3-\dfrac{24}{11}}=\dfrac{24-22}{33-24}=\dfrac{2}{9}$

The point X divides the segment into the ratio ...

  PX : XQ = 2 : 9