Question

What is the equation of the following line that passes through the points (1,1) and (5,5)

Answer 1

The generic equation of the line is:
 $y-yo = m (x-xo)$
 Where, the slope is given by:
 $m = \frac{y2-y1}{x2-x1}$
 Substituting values we have:
 $m = \frac{5-1}{5-1}$
 Rewriting:
 $m = \frac{4}{4}$
 $m = 1$
 We now choose an ordered pair:
 $(xo, yo) = (1,1)$
 Then, replacing values we have:
 $y-1 = (x-1)$
 Rewriting the equation we have:
 $y = x-1+1 y = x y - x = 0$
 Answer:
 the equation of the line that passes through the points (1,1) and (5,5) is:
 A. Y-x=0