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Find the $y$ -intercept of the line $y = \frac{11}{10}x + 6$ . 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{11}{10}x + 6

. 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 the line crosses the $y$ -axis. This is because the $y$ -intercept occurs where $x = 0$ .
Identifying slope and y-intercept: In the equation $y = \frac{11}{10}x + 6$ , the slope $m$ is $\frac{11}{10}$ and the y-intercept $b$ is $6$ .
Directly reading y-intercept: Since the y-intercept is simply the constant term in the equation, we can directly read off the y-intercept from the equation without any further calculations.

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