Answer:
B = (-2,-3)
Step-by-step explanation:
Here, we are to split a the length of a line in a particular ratio.
The ratio we are to split in is the ratio 2:3
Now, the formula to use for the points of the splitted ratio is
x = (bx1 + ax2) / (a + b)
y = (by1 + ay2) / (a + b)
where (x1,y1) = (-6,-5) and (x2,y2) = (4,0)
while a and b = 2 and 3
Now substituting these values, we have
x-point = {3(-6) + 2(4)}/(2+3) = (-18+8)/5 = -10/5 = -2
y-point = {3(-5) + 2(0)/(2+3) = (-15+0)/5 = -15/5 = -3
The coordinates of the point B is thus (-2,-3)
