Question

Find the coordinates of the points which divides the line segment joining A(-4,2) and B(4,8) into four equal parts.

Answer 1

Step-by-step explanation:

The points are: A(-4,2), B(4,8).

The ratios for 4;sections are:

• 3:1
• 2:2
• 3:1.

Section formula:

$p(x \: y) = \: (\frac{m1x2 + m2x1}{m1 + m2} \: \frac{m1y2 + m2y1}{m1 + m2} )$

1. When ratio=3:1

p(x,y)=[3(4)+1(-4)/3+1, 3(8)+1(2)/3+1]

=[12-4/4, 24+2/4]

=[2,13/2].

2.When ratio=2:2

p(x,y)=[2(4)+2(-4)/2+2, 2(8)+2(2)/2+2]

=[8-8/4, 16+4/4]

=[0, 5].

3.When ratio=1:3

p(x,y)=[1(4)+3(-4)/3+1, 1(8)+3(2)/3+1]

=[4-12/4, 8+6/4]

=[-2,7/2].

Answer 2

Answer:

answer attached in photo