Subjects algebra

Line Slope Y Intercept A4E798

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1. **State the problem:** Find the y-intercept and slope of the line given by the equation $$-3x + y = -5$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Isolate $$y$$:** $$-3x + y = -5$$ Add $$3x$$ to both sides: $$y = 3x - 5$$ 4. **Identify the slope and y-intercept:** - The slope $$m = 3$$. - The y-intercept $$b = -5$$. 5. **Interpretation:** - The slope of the line is 3, meaning the line rises 3 units vertically for every 1 unit it moves horizontally. - The y-intercept is the point where the line crosses the y-axis, at $$y = -5$$. **Final answer:** - Slope: $$3$$ - Y-intercept: $$(0, -5)$$