helppppp I don't know how to do this

Question

Point A(-7,20) is one of the ends of segment AD. On this segment, point B and point C(-1,8) are peeled so that |AB|=|BC|=CD|. Give the coordinates of points B and D.

Answer 1

A(-7,20), C(-1,8)

B is midway between A and C

B=(-4,14) the coordinates of B are the average of the coordinates of A and C

AC is 2/3 of AD

D is (2,2)

from A to B, the x coordinate increased by 3 and the y coordinate decreased by 6, same with from B to C and from C to D so D = (-1+3, 8-6) = (2,2)

check the solution

the line equation has slope = -6/3 = -2

the equation is y=-2x +6

plug in each point

2=-2(2)+6 = -4+6=2 for D

8=-2(-1)+6 = 2+6=8 for C

20=-2(-7)+6 = 14+6=20 for A

14=-2(-4)+6 = 8+6 =14 for B

it probably helps to plot the points and graph the line

to see what's going on better

B and C divide AD into thirds

line segment lengths of AB=BC=CD