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Find the $y$ -intercept of the line $y = 2x - 9$ . 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 = 2x - 9

. 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 is the point where the line crosses the y-axis. This occurs when the x-value is $0$ . To find the y-intercept, we substitute $x = 0$ into the equation of the line.
Substitute $x = 0$ : Substitute $x = 0$ into the equation $y = 2x - 9$ . $\newline$ $y = 2(0) - 9$ $\newline$ $y = -9$
Calculate y-intercept: The y-intercept is the y-value when $x = 0$ , which we have found to be $-9$ . $\newline$ Therefore, the y-intercept of the line $y = 2x - 9$ is $-9$ .

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