Question

Quick Help!
So I have to find the equation of the line that passes through (3,2) and (5,6) I figured out that the slope is 2 and now need to find B in the y=mx+b equation. Help?

Answer 1

two-point form
p1(3,2)
p2(5,6)
formula
(y-y1)(x2-x1)=(y2-y1)(x-x1)
(y-2)(5-3)=(6-1)(x-3)
(y-2)(2)=(5)(x-3)
2y-4=5x-15
-5x+2y=-15+(-4)
-5x+2y=-19 <- standard form
2y=5x-19<- not yet simplified
2y/2=5x/2-19/2
y=5/2 x - 19/2 <-simplified form
m=5/2 and b= 19/2

Answer 2

hope this helps