Answer:
Option B
Step-by-step explanation:
Option A is a representation of the equation because the coordinates of the points in the line satisfy the given equation. For example the point (0, -2) because when x = 0, y is equal to -2:
y= 0.5x - 2
y = 0.5(0) - 2
y = 0 - 2
y = -2
For Option B, we need to prove that when we replace the values of x in the equation, we get the values of y.
So, if x = -4, y is equal to:
y = 0.5(-4) - 2
y = - 2 - 2
y = -4
If x = -3, y is equal to:
y = 0.5(-3) - 2
y = - 1.5 - 2
y = -3.5
Since the second row of the table is doesn't have the values x = -3 and y = -3.5, this option is not a representation of the equation.
Therefore, the answer is Option B.