How are the functions y = x and y = x – 3 related? How are their graphs related?
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Both y = x and y = x -3 have a slope of 1
y = x passes through the origin while y = x -3 intersects the y-axis at the point (0, -3)
Both functions represent a straight line of the form y = mx + c
where m is the slope
c is the y-intercept
For the function y = x
The slope = 1
The y-intercept = 0
That is the line y = x passes through the origin
For the function y = x-3
The slope = 1
The y-intercept = -3
The line passes intersects the y-axis at (0, -3)
The graphs of y=x and y = x - 3 are attached below
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