Question

Which is the right equation

Answer 1

C

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(2)/(3)` x + 1 ← is in slope- intercept form

with slope m =
`(2)/(3)`

Parallel lines have equal slopes , then

the slope of a parallel rail has slope =
`(2)/(3)`

The only equation with this slope is

y =
`(2)/(3)` x + 3 ← could represent the path of the second rail → C