Consider the points A (3,7) and B (11, -5). What are the coordinates of C so that C is on the line segment AB with AC:CB = 7:1? Thanks in advance!!!
1 Answer
Nov 25, 2017
Explanation:
#"given a line with endpoints"#
#A(x_1,y_1)" and "B(x_2,y_2)" being sectioned by a point C"#
#"in the ratio m:n"#
#"then using the "color(blue)"section formula"#
#•color(white)(x)C=[(mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)]#
#"here "(x_1,y_1)=(3,7),(x_2,y_2)=(11,-5)#
#"and "m:n=7:1#
#C=[((7xx11)+(1xx3))/(7+1),((7xx-5)+(1xx7))/(7+1)]#
#color(white)(C)=(80/8,-28/8)=(10,-7/2)#
