Question

P divides distance between A(-2,1) and B(1,4) in the ratio 2:1 calculate the coordinates of the point P with full explanation
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Answer 1

Step-by-step explanation:

P(x,y) = [ {(m1x2+m2x1)} ÷ (m1+m2) ] , [ {(m1y2+m2y1)} ÷ (m1+m2) ]

= [ {( 2×1 + 1×-2 )} ÷ ( 2+1 )} ] , [ {( 2×4 + 1×1 )} ÷ ( 2+1 )} ]

= [ {( 2 - 2 )} ÷ 3 ] , [ {( 8 + 1 )} ÷ 3 ]

= [ 0 ÷ 3 ] , [ 9 ÷ 3 ]

= ( 0 , 3 )

hope this helps you