Answer:
-3x+y=-5
Explanation:
First, find the slope of the equation:
m=(y2-y1)/(x2-x1) ==> m=slope of equation
(x1, y1), (x2, y2) ==> (x1=3, y1=4), (x2=2, y2=1)
m=(1-4)/(2-3) ==> plugin x1=3, y1=4, x2=2, and y2=1
m=-3/(-1)
m=3
y=mx+b ==> slope-intercept equation
1=3(2)+b ==> plugin 3 for m and (2, 1) where x=2 and y=1
1=6+b ==> solve for b
1-6=6-6+b
b=-5
y=3x+(-5) ==> plugin -3 for m and -5 for b
y=3x-5 ==> simplify
Now, Isolate -5 since it is the only constant
y-3x=3x-3x-5 ==> isolate -5 by subtracting 3x on both sides
-3x+y=-5 ==> simplify and put in Ax+By=C form