Answer:
The slopes are equal
Step-by-step explanation:
Calculate the slope m of f(x) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = - 3x - 6 ← is in slope- intercept form
with slope m = - 3
Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel
