Question

Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

Answer 1

AB=(5-4,2-1) =(1,1)
perpendicular vector to (1,1) is for example (1,-1)
standart form is:
ax+by=c
where (a,b) is perpendicular vector to the line. In our case (1,-1)
so:
1*(x-4)-1*(y-1)=0
x-4-y+1=0
x-y=4-1
x-y=3 this is your equation