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4. Graph the following features: - Slope \( =-\frac{2}{3} \) - Y-intercept \( =-2 \)

Ask by Rose Mccoy. in the United States
Feb 24,2025

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To graph the line with a slope of \(-\frac{2}{3}\) and a y-intercept of \(-2\), plot the point \((0, -2)\) and another point using the slope, such as \((3, -4)\), then draw a straight line through these points.

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Mind Expander

To graph the line with a slope of \(-\frac{2}{3}\) and a y-intercept of \(-2\), start by plotting the y-intercept at the point (0, -2) on your graph. From this point, use the slope to find another point. Since the slope is negative, for every 3 units you move to the right (positive direction on the x-axis), move 2 units down (negative direction on the y-axis). This will lead you to the next point at (3, -4). Draw a straight line through these points, extending it in both directions. Now, let’s talk about some common mistakes people make while graphing lines! One of the biggest blunders is miscalculating the slope movement. Remember, the slope \( \frac{rise}{run} \) means if you're moving right (positive x-direction), your 'rise' should be down for a negative slope! Another mistake is forgetting to label your axes or to extend the line; it's important to show the direction the line goes beyond the plotted points to provide clarity. Happy graphing!

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