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How do the graphs of f(x)=3x+2 and g(x) = 3(x-3)+2

User Matrix
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1 Answer

2 votes

Explanation:

what is the question ? maybe how do the graphs relate to each other ?

f(x) = 3x + 2

that is a line with the slope of 3 and y-intercept at y = 2.

g(x) = 3(x - 3) + 2 = 3x - 9 + 2 = 3x - 7

that is a line too with the slope of 3 and the y-intercept at y = -7.

since both lines have the same slope, they are parallel.

and because they have different y-intercepts, they are not identical (and therefore truly 2 separate parallel lines).

User Jiffyclub
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