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Find the $y$ -intercept of the line $y = \frac{7}{9}x + \frac{2}{3}$ . 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{7}{9}x + \frac{2}{3}

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

Definition of y-intercept: The y-intercept of a line in the slope-intercept form $y = mx + b$ is the value of $b$ , where $m$ is the slope of the line.
Given equation in slope-intercept form: The equation of the line is given in slope-intercept form: $y = \frac{7}{9}x + \frac{2}{3}$ . Here, the slope $m$ is $\frac{7}{9}$ , and the y-intercept $b$ is $\frac{2}{3}$ .
Finding y-intercept value: Since the y-intercept is the value of $y$ when $x = 0$ , we can directly read off the y-intercept from the equation. It is the constant term, which is $\frac{2}{3}$ .

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