Answer: The correct option is
(C) A coordinate plane with a line passing through (0, negative 4) and (2, 0).
Step-by-step explanation: We are given to select the option that represents the following function :
Now, we know that the equation of a line passing through two points (a, b) and (c, d) is given by
Option (A) : The line passing through the points (-4, 0) and (0, 2) is
not same as equation (i).
So, option (A) is NOT correct.
Option (B) : The line passing through the points (0, -4) and (4, -2) is
not same as equation (i).
So, option (B) is NOT correct.
Option (C) : The line passing through the points (0, -4) and (2, 0) is
which is same as equation (i).
So, option (C) is CORRECT.
Option (D) : The line passing through the points (-4, 0) and (-2, 4) is
not same as equation (i).
So, option (D) is COT correct.
Thus, the correct option is (C).