Question

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

A. Y-x=0

B.x-y=0

C.-x-y=0

Answer 1

The generic equation of the line is:

`y-yo = m (x-xo)`
Where, the slope is given by:

`m = (y2-y1)/(x2-x1)`
Substituting values we have:

`m = (5-1)/(5-1)`
Rewriting:

`m = (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