Final answer:
The point (3,-1) does not lie on the line represented by the equation y = x + 4.
Step-by-step explanation:
The point (3,-1) is on the line given by the equation y = x + 4. To determine this, we can substitute the x and y coordinates of the point into the equation and check if they satisfy it.
Using the coordinates (3,-1), we substitute x = 3 and y = -1 into the equation y = x + 4:
-1 = 3 + 4
-1 = 7
Since -1 does not equal 7, the point (3,-1) does not lie on the line represented by the equation y = x + 4. Therefore, the correct answer is d) y = x + 4.