Question

Which description of the graph of y = 500x is most accurate?

1.The graph is a line that rises steeply from left to right and passes through the origin.
2.The graph is a line that rises gradually from left to right and passes through the origin.
3.The graph is a line that falls gradually from left to right and passes through the origin.

Answer 1

The true option is (2) The graph is a line that rises gradually from left to right and passes through the origin.

The linear function is given as:

$\mathbf{y = 500x}$

A linear function that passes through the origin has the form y = mx.

This means that:

m = 500

When m > 0, then the line of the graph rises from left to right.

Hence, the true option is (2)

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