If there is only one common point between a straight line with a slope of 1 and a parabola y squared equal to 4x, then the equation of the straight line is In fact, I have done it, but to be sure, I still want to see the difference between other people's and mine~

Let y = x + B
y^x=4x
simultaneous
(x+b)^2=4x
x^2+(2b-4)x+b^2=0
There is a common point, that is, discriminant = 0
(2b-4)^2-4b^2=0
b=1
y=x+1

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