Answer:
(0, - 23 )
Step-by-step explanation:
Find the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table
m = =
= -
, thus
y = - + c
To find c substitute any ordered pair into the equation
Using (- 54, 13 ) , then
13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept
Thus coordinates of y- intercept = (0, - 23 )