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 = ( , )

Answer 1

Answer:

$(x,y) = (\¾, \frac{5}{2})$

Step-by-step explanation:

Given

$Ratio = 1 :3$

$A = (-3, 2)$

$B = (12 , 4)$

Required

Determine the coordinates at the given ratio

This is calculated using the following formula

$(x,y) = \frac{mx_2 + nx_1}{ m + n}, \frac{my_2 + ny_1}{m + n}$

Where:

$m : n = 1 : 3$

Substitute values for x1, x2, y1, y2, m and n

$(x,y) = (\frac{1 * 12 + 3 * -3}{1 + 3},\frac{1 * 4 + 3 * 2}{1 + 3})$

$(x,y) = (\frac{12-9}{4},\frac{4 + 6}{4})$

$(x,y) = (\¾,\frac{10}{4})$

The coordinates is at point: $(\¾, \frac{5}{2})$