Find the coordinates of the point 13 of the way from A to B. Segment A B plotted on a coordinate plane. Point A has coordinates negative 3 negative 2. Point B has coordinates 12 comma 4. Coordinates = ( , )

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Question:

Find the coordinates of the point 13 of the way from A to B. Segment A B plotted on a coordinate plane. Point A has coordinates negative 3 negative 2. Point B has coordinates 12 comma 4. Coordinates = ( , )

Answers

Answer:[tex](x,y) = (\¾, \frac{5}{2})[/tex]Step-by-step explanation:Given[tex]Ratio = 1 :3[/tex][tex]A = (-3, 2)[/tex][tex]B = (12 , 4)[/tex]RequiredDetermine the coordinates at the given ratioThis is calculated using the following formula[tex](x,y) = \frac{mx_2 + nx_1}{ m + n}, \frac{my_2 + ny_1}{m + n}[/tex]Where:[tex]m : n = 1 : 3[/tex]Substitute values for x1, x2, y1, y2, m and n[tex](x,y) = (\frac{1 * 12 + 3 * -3}{1 + 3},\frac{1 * 4 + 3 * 2}{1 + 3})[/tex][tex](x,y) = (\frac{12-9}{4},\frac{4 + 6}{4})[/tex][tex](x,y) = (\¾,\frac{10}{4})[/tex]The coordinates is at point: [tex](\¾, \frac{5}{2})[/tex]

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