Two lines can intersect in a point.

Answer 1

y=mx + b

y=nx + c

the two lines have different slopes. m does not = n if the lines intersect in a point (if m=n, the lines are parallel and never intersect)

if b=c, then they intersect at (0,b) or (0, c)

otherwise, the point of intersection is (x,y) where x=(c-b)/(m-n) and y =n(c-b)/(m-n)

(m-n)x +b-c = 0

x = (c-b)/(m-n)

y= n(c-b)/(m-n) + c = m(c-b)/(m-n) + b