A: 5,7 is the point 3 : 2 of the way from R to S
B: 13,11 is the point 4 : 1 of the way from R to S
Let point (x, y) divides the line segment whose end points are () and
() in ratio , then
and
Solving for A:
According to the question, RS is the line segment with end points R (-3, 3) and S (17, 13) and point (5, 7) divides in the ratio
By using the above ratio formula:
⇒
⇒
⇒
⇒
⇒
⇒ = 3 : 2
Solving for B:
According to the question, RS is the line segment with end points R (-3, 3) and S (17, 13) and point (13, 11) divides in the ratio
By using the above ratio formula:
⇒
⇒
⇒
⇒
⇒ = 4 : 1
∴ Point (5, 7) divides the line segment RS in the ratio 3 : 2.
∴ Point (13, 11) divides the line segment RS in the ratio 4 : 1.
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