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Find the $y$ -intercept of the line $y = -\frac{15}{8}x + 9$ . 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}{8}x + 9

. 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 $y = -\frac{15}{8}x + 9$ , the y-intercept is the constant term, which is $9$ .
Verify identification: Verify that the y-intercept is properly identified. $\newline$ The y-intercept is the value of $y$ when $x$ is $0$ . Plugging $x = 0$ into the equation $y = -\frac{15}{8}x + 9$ gives us $y = 9$ , confirming that $9$ is indeed the y-intercept.

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