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Graph the line with the equation \( y=-\frac{1}{2} x-1 \)

Ask by Davey Bowers. in the United States
Jan 23,2025

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To graph the line \( y = -\frac{1}{2}x - 1 \), plot the y-intercept at \( (0, -1) \). Then, use the slope \( -\frac{1}{2} \) to find another point by moving 2 units right and 1 unit down from the y-intercept, arriving at \( (2, -2) \). Draw a straight line through these points to complete the graph.

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To get started with graphing the line defined by the equation \( y=-\frac{1}{2} x-1 \), you can identify two key points. First, when \( x=0 \), \( y \) becomes -1, giving you the point (0, -1). Next, pick another value, say \( x=2 \); substituting gives you \( y=-\frac{1}{2}(2)-1=-2 \), so you have the point (2, -2). Plotting these points and drawing a line through them will yield your graph. To visualize it better, remember that the slope of \(-\frac{1}{2}\) means for every 2 units you move to the right (positive x-direction), you move 1 unit down (negative y-direction). This will help you sketch the line accurately.

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Algebra Vietnam Jan 24, 2025
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