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Find the $y$ -intercept of the line $y = \frac{1}{6}x + \frac{3}{2}$ . 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}{6}x + \frac{3}{2}

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

Identify Problem: What is asked in the problem? $\newline$ We need to find the y-intercept of the line given by the equation $y = \frac{1}{6}x + \frac{3}{2}$ .
Find Y-Intercept: Identify the y-intercept from the equation. $\newline$ The equation of the line is in the slope-intercept form, $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. Here, $b = \frac{3}{2}$ .
Confirm Value: Confirm the $y$ -intercept value. $\newline$ Since the $y$ -intercept is directly given as $\frac{3}{2}$ in the equation, and no calculations are needed to find it from the equation, there is no chance of a calculation error here.

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