Answer:
slopes are the same
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 )
y = - 5x - 6 ← is in slope- intercept form
with slope m = - 5
Calculate the slope between the 2 points using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2, - 16)
m = [tex]\frac{-16+6}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5
The slope of the line and the slope between the 2 points are the same
