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Which equation represents the graph function?

Which equation represents the graph function?-example-1
User Fantasim
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1 Answer

4 votes

Answer:


\displaystyle y=-(1)/(3)x+3

Explanation:

First, notice that since the graph of the function is a line, we have a linear function.

To find the equations for linear functions, we need the slope and the y-intercept. Recall the slope-intercept form:


y=mx+b

Where m is the slope and b is the y-intercept.

We are given the point (0,3) which is the y-intercept. Thus, b = 3.

To find the slope, we can use the slope formula:


\displaystyle m=(\Delta y)/(\Delta x) =(2-3)/(3-0)=-1/3

Therefore, our equation is:


\displaystyle y=-(1)/(3)x+3

User Ezequiel Gorbatik
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