Answer:
y = -
x - 1
Explanation:
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 ) = (- 4, 9) and (x₂, y₂ ) = (2, - 6) ← 2 ordered pairs from the table
m =
=
=
= -

the line crosses the y- axis at point (0, - 1 ), ordered pair from table, then
c = - 1
y = -
x - 1 ← equation of line