Answer:
y = - 3x - 1
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 4) and (x₂, y₂ ) = (2, - 7) ← 2 ordered pairs from the table
m = [tex]\frac{-7+4}{2-1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, - 4 ), then
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - 3x - 1 ← equation of linear function
