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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table
m = [tex]\frac{-10+7}{2-1}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (2, - 10) , then
- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4
y = - 3x - 4 ← equation of linear function
