Subjects algebra

Linear Equation 0Df6Dd

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Question: User: y= -x y, equals, minus, 4, x, plus, 12 y= -4x+12
1. **State the problem:** We are given the equation $$y = -4x + 12$$ and need to understand or analyze it. 2. **Identify the type of equation:** This is a linear equation in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Extract slope and intercept:** Here, the slope $$m = -4$$ and the y-intercept $$b = 12$$. 4. **Interpretation:** The slope $$-4$$ means for every increase of 1 in $$x$$, $$y$$ decreases by 4. 5. **Graph features:** The line crosses the y-axis at $$y = 12$$. 6. **Summary:** The equation $$y = -4x + 12$$ represents a straight line with slope $$-4$$ and y-intercept $$12$$.