Question

Given the points A(-3,-8) and B(3,-2), find the points P,(1,b) and P,,(c, d) which divides AB internally and externally in the same ratio.

Answer 1

focus on one direction at a time

x: -3, 1, c, 3 or -3, c, 1, 3

define c that fits the requirements,

Answer 2

i do not know wht it means to be internally and externally ratioed so that part is up to you to figure out.

Answer 3

Start with a sketch of the situation

As @amistre64 said, concentrate on one direction, say x.
Given A(-3,-8), B(3,-2) and P(1,b)
Find the ratio that P divides AB internally
AP/PB = (1-(-3))/(3-1)=4/2=2
In the y-direction, the same ratio applies, so
AP/PB=2=(b-(-8))/(-2-b)
solve for B. Hint: it is a negaive integer.

For external division, P'B is negative (see sketch).
Post if you have questions.

Answer 4

so b=-4?