How are the functions y = x and y = x – 3 related? How are their graphs related?

Question

anonymous · Answer

The functions are both linear functions and their derivatives are equal
Graphically, both are straight lines which are parallel

anonymous · Answer

in case you aren't doing derivatives yet, @him1618  means that they have the same slope.  Notice that the coefficient of x in both functions is 1.

a line written as f(x) = mx + b   will have slope of m

Both these functions have "1" as the x coefficient, so they have the same slope, 1.  That makes them parallel.

They are separated a bit on the graph... that's because one is y = x - 3, so that y will be equal 0 when x = 3.  At the same spot on the x axis, the other line will be at y = 3.

anonymous · Answer

tell your math teacher (gently) that $y=x$ is not a function, it is an equation

anonymous · Answer

they both represent straight lines of the same slope but the line y=x-3 is shifted 3 units along negative y axis

anonymous · Answer

@satellite73   love it :)   "...gently..."

anonymous · Answer

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