M
, 14.01.2022 01:53

# segment GH with G(-8,8) and H(7,2), if point p divides GH one third of the way from g to h find the coordinates of p the coordinates of the point P(x, y) which divides the line segment joining the points G(x1, y1) and H(x2, y2), internally, in the ratio m1 : m2 are { (m1x2 + m2x1)/(m1 + m2 ) ,  (m1y2 + m2y1)/(m1 + m2 ) } .This is known as the section formula.G(x1, y1) = (-8,8)and H(x2, y2) = (7,2)M1 = 1M2 = 3P(X,Y) = [1×7+ 3×(-8)/1+3, 1×2+3×8/1+3]= (7-24/4, 2+24/4)= (-17/4, 26/4)P(X,Y) = (-17/4, 13/2)  ### Other questions on the subject: Mathematics

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