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Find the $y$ -intercept of the line $y = \frac{15}{2}x - \frac{13}{10}$ . 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{15}{2}x - \frac{13}{10}

. 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 in 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 $y = \frac{15}{2}x - \frac{13}{10}$ , the y-intercept is the constant term, which is $-\frac{13}{10}$ .
Write as fraction: Write the $y$ -intercept as a simplified fraction. $\newline$ The $y$ -intercept is already given as a fraction, $-\frac{13}{10}$ , which is in simplified form.
Check for simplification: Check if the $y$ -intercept needs to be written as an integer or a proper/improper fraction. $\newline$ The $y$ -intercept is $-\frac{13}{10}$ , which is a proper fraction and does not need further simplification.

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