Maths / Coordinate Geometry / Section Formula

QUESTION
 

Determine the ratio in which the point P(m,6) divides the join of A(-4,3) and B (2,8) Also find the value of m.

EXPLANATION
Explain TypeExplanation Content
Text

A(-4,3), B(2,8) and P(m,6)

Let P divides the join of AB in the ratio of k : 1

therefore y coordinate of p = frac{ktimes 8+1times 3}{k+1} Rightarrow 6=frac{8k+3}{k+1}Rightarrow 6k+6=8k+3Rightarrow 2k=3 Rightarrow k=3/2

thereforedivides the join of AB in the ratio of 3:2

x coordinate of p = frac{3times 2+2times d (-4)}{3+2}

Rightarrow m=frac{6-8}{5}Rightarrow m=-2/5

 

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