What happens when the line y = x is changed to y = x+2.

The slope increases

The line shifts up 2 units

The line shifts down 2 units

The line is reflected around the y-axis

y = x means that the line is going 1 value of x for every 1 value of y.

The intersection would be at the (0,0).

However, y = x+2 would have a intersection at (0,2) when y-axis have the value 2. The slope doesn't increase, because the derivative of both slopes gives us y = 1.

Therefore, the line shifts up 2 units.

Hope you understood!

Good luck; )

Sincerely

Astrophysicist. D