Problem

Give the slope and the $y$-intercept of the line with the given equation. Then, graph the linear equation.
\[
y=\frac{4}{9} x
\]
Select the correct choice below and fill in any answer boxes within your choice.
A. The slope is
(Simplify your answer.)
B. The slope is undefined.

Answer

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Answer

Final Answer: The slope of the line is \(\boxed{\frac{4}{9}}\) and the y-intercept is \(\boxed{0}\).

Steps

Step 1 :The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 :In the given equation, \(y=\frac{4}{9} x\), we can see that the slope is \(\frac{4}{9}\) and the y-intercept is \(0\) (since there is no constant term).

Step 3 :The graph of the line is a straight line that passes through the origin and has a positive slope.

Step 4 :Final Answer: The slope of the line is \(\boxed{\frac{4}{9}}\) and the y-intercept is \(\boxed{0}\).

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