Select the equation whose graph is given alongside:
y = 2x - 4
By looking at the graph we can easily say that the line passes through the points (2,0) and (0,-4).
We can identify which line passes through these points by substituting the points in the equation of the line.
Plugging x = 2, y = 0 in equation y = 2x - 4, we get
0 = 2(2) - 4 = 0
Plugging x = 0, y = -4 in equation y = 2x - 4, we get
-4 = 2(0) - 0 = -4
The equation y = 2x - 4 is satisfied by both the points. So, given graph belongs to y = 2x - 4.