Answer:
B
Step-by-step explanation:
the slope of a line is a measure of its rate of change
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
calculate the slope of the function represented in the table using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = [tex]\frac{-3-(-4)}{2-0}[/tex] = [tex]\frac{-3+4}{2}[/tex] = [tex]\frac{1}{2}[/tex]
the y- intercept is on the y- axis where x = 0
from the table the point (0, - 4 ) has x = 0 , then c = - 4
Thus the 2 functions have the same y- intercepts but different rates of change , that is option B
