Answer:
y = x - 1
Explanation:
to determine the equation of the line we require to find the slope of the line and its y- intercept, where it crosses the y- axis.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (1, 0) ← 2 points on the line
m =
=
=
= 1
the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = x - 1