Answer:
y = - 3x + 4
Step-by-step 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (3, - 5) ← 2 ordered pairs from table
m = [tex]\frac{-5-1}{3-1}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3, thus
y = - 3x + c ← is the partial equation
To find c use any ordered pair from the table
Using (3, - 5 ), then
- 5 = - 9 + c ⇒ c = - 5 + 9 = 4
y = - 3x + 4 ← equation of line
