Question

Consider the points A ( 2,2) and B (5,3).
1)Find the equation of the line passing through the points A and B
2) Find the image of the point (1,2) in the line through A and B

Answer 1

Answer:

x-3y=-4,

by two point form,

the equation of line AB is,

(y-y1)/(y1-y2) = (x-x1)/(x1-x2)

y-2/2-3 = x-2/2-5

y-2/-1 = x-2/-3

-3(y-2) = -1(x-2)

-3y+6 = -x+2

x-3y = 2-6

x-3y = -4

this is the equation of line AB.