Write an equation of the line that passes through the points (8,0) and (8,-5)

Answer 1

x=8

the two points have the same x coordinate. The line through them must have the same x coordinate. x=8 is the only line that does that. A vertical line, which always has the same x value, and includes any y value.

Or if you want to use the slope intercept equation, y=mx+b plug in the two points to get two equations

(8,0), (8,-5)

0=m(8) + b and

-5 = m(8) + b

giving you

b =-8m

and

b= -8m - 5

which leads to

0=-5 an impossibilty for the y intercept.

in other words, there is no y intercept. the only way that happens is with a vertical line, x= some constant not 0.

x=8 is the only solution