Question

if the point R(-2,3) divides the line segment pq in the ratio 3:4 where the coordinates of p are (-6,7) find the coordinates of q

Answer 1

here,m=3
n=4
x=-2
y=3
x1=-6
x2=x'
y2=y'
now,x=(mx2+nx1)/m+n
-2=(3x'+4×-6)/7
-14=3x'-24
x'=10/3
y=(my2+ny1)/m+n
3=(3×y'+4×7)/7
21=3y'=21-28
3y'=-7
y'=-7/3
hence coordinates are [10/3 ,-7/3]


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