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Find the $y$ -intercept of the line $y = -\frac{8}{7}x - 3$ . 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{8}{7}x - 3

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

Identify Equation Form: 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.
Find Y-Intercept Value: To find the y-intercept, we need to identify the value of $b$ in the equation $y = -\frac{8}{7}x - 3$ .
Analyze Equation: Looking at the equation $y = -\frac{8}{7}x - 3$ , we can see that the $y$ -intercept, $b$ , is $-3$ .
No Further Calculations: There is no need for further calculations as the $y$ -intercept is clearly given in the equation.

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