Which point lies on the equation (y=x+1)?

Correct answer: ( (4,5) )

The direct answer is A: \((4,5)\). A point \((x,y)\) lies on \(y=x+1\) when its coordinates satisfy the equation. For A, substitute \(x=4\): the required value is \(y=4+1=5\), exactly the given second coordinate. So A works. For B, \((5,4)\), the equation requires \(y=5+1=6\), not 4. For C, \((2,4)\), the required value is \(2+1=3\), not 4. For D, \((0,2)\), the required value is \(0+1=1\), not 2. The safest method is to substitute each point, or calculate \(y=x+1\) from its x-coordinate. A line contains precisely the points that make its equation true. Do not interchange x and y: the first coordinate is x and the second is y. Memory cue: check whether the second coordinate equals the first coordinate plus one.