Subjects algebra

Line Parallel Horizontal E5A889

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Question: Write an equation in slope-intercept form for the line described passes through $(-2, 4)$, parallel to $y = 9$ y =
1. **State the problem:** Find the equation of a line in slope-intercept form that passes through the point $(-2, 4)$ and is parallel to the line $y = 9$. 2. **Recall the slope-intercept form:** The slope-intercept form of a line is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Analyze the given line:** The line $y = 9$ is a horizontal line with slope $m = 0$. 4. **Parallel lines have the same slope:** Since the new line is parallel to $y = 9$, its slope is also $0$. 5. **Use the point to find the equation:** A horizontal line with slope $0$ passing through $(-2, 4)$ has the equation $$y = 4$$ because the y-value is constant for all x. 6. **Final answer:** The equation of the line is $$y = 4$$.
(-2,4)y=9