Answer:
see explanation
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 31) and (x₂, y₂ ) = (15, - 41) ← 2 ordered pairs from the table
m = [tex]\frac{-41-31}{15-(-9)}[/tex] = [tex]\frac{-72}{15+9}[/tex] = [tex]\frac{-72}{24}[/tex] = - 3
the y- intercept is the value of g(x) when x = 0 , then from the table
y- intercept = 4
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then equation is
y = - 3x + 4
