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What function equation is represented by the graph?

f(x)=−2/5x+4


f(x)=−5/2x+4


f(x)=−5/2x+8/5


f(x)=−4x+8/5

What function equation is represented by the graph? f(x)=−2/5x+4 f(x)=−5/2x+4 f(x-example-1
User Gwynn
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1 Answer

8 votes

the answer would be ...

f(x) = -5/2x + 4

We know this because the constant in this equation, 4, is the y-intercept!

This means that the number without the variable is where the line intersects the y-axis.

Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis, we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator).

We find ourselves at where the line intercepts the x-axis!

I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)

User Jason Meckley
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7.3k points