3 years ago

Select the correct answer. Which graph represents a proportional relationship

1 answer:

6 0

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

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ra1l [238]

In your situation you said that

$f(x) = mx+b$
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Putting those together, you'd have $f(x) = b$ because $0\cdot x+b=b$ .

To evaluate the difference quotient, first find each piece on it's own:

$f(x+1) = b$ because $f(x) = b$ no matter what your x-value is.
$f(x) = b$

So putting those together:

$f(x+1) - f(x) = b-b = 0$

Remember that the difference quotient is basically finding the slope of something. Since you were given that the slope is 0, the difference quotient should work out to match that.

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