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Find the slope of the line $y = \frac{2}{9}x + \frac{6}{13}$ . Write your answer as an integer or as a simplified proper or improper fraction.

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Slope-intercept form: find the slope and y-intercept

Full solution

Q. Find the slope of the line

y = \frac{2}{9}x + \frac{6}{13}

. Write your answer as an integer or as a simplified proper or improper fraction.

Identify Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
Compare to Form: Compare the given equation to the slope-intercept form. $\newline$ The given equation is $y = \frac{2}{9}x + \frac{6}{13}$ . Comparing this to the slope-intercept form, we can see that the coefficient of $x$ , which is $\frac{2}{9}$ , represents the slope $m$ .
State Slope: State the slope of the given line. $\newline$ Since the coefficient of $x$ in the given equation is $\frac{2}{9}$ , the slope of the line is $\frac{2}{9}$ .

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