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Find the $y$ -intercept of the line $y = \frac{1}{3}x + \frac{5}{6}$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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

Full solution

Q. Find the

y

-intercept of the line

y = \frac{1}{3}x + \frac{5}{6}

. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Identify y-intercept: Identify the y-intercept from the equation of the line. The equation of the line is given in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. In the given equation $y = \frac{1}{3}x + \frac{5}{6}$ , the y-intercept is the constant term, which is $\frac{5}{6}$ .
Verify simplicity: Verify that the y-intercept is in its simplest form. $\newline$ The y-intercept $\frac{5}{6}$ is already in its simplest form as a proper fraction. There is no need to simplify it further.

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