Answer:
y = 3x - 4
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 ) = (1, - 1) and (x₂, y₂ ) = (4, 8) ← 2 ordered pairs from the table
m =
=
=
= 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 8 )
8 = 12 + c ⇒ c = 8 - 12 = - 4
y = 3x - 4 ← equation representing the table