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IRISSAK [1]
3 years ago
14

Which function is represented by the graph?

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:   f(x)=-\frac{1}{2}x+6

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

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

In this case, you can identify in the graph that the y-intercept is:

y=6

 By definition, the slope can be calculated with this formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, in order to find the slope, you can pick the points (0,6) and (12,0) and say that:

y_2=0\\y_1=6\\\\x_2=12\\x_1=0

So, substituting these values into the formula, you get:

m=\frac{0-6}{12-0}=-\frac{1}{2}

Therefore, the function represented by the given graph is:

f(x)=-\frac{1}{2}x+6

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