Question

point a is at (-7 5) and point c is at (5 -1). find the coordinates of point b on line ab such that ab is 5 times as long as bc

Answer 1

Explanation:

Let the coordinates of point b be (x,y).

Given the coordinates of a (-7,5) and c(5,-1)

Now according to question

ab = 5bc

using distance formula

`√((x+7)^2+(y-5)^2) =5√((5-x)^2+(-1-y)^2)`

Solving we can get

`x=-(-11+√(-4y^2-10y+25))/(2),\:x=(√(-4y^2-10y+25)+11)/(2)`'

However, we do need either x or y coordinate of point b to find the other.