Question
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Graph the equation and identify the \( y \)-intercept. \( y=-x \) Use the graphing tool on the right to graph the equation.

Ask by Olson Turner. in the United States
Mar 14,2025

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Answer

The \( y \)-intercept of the equation \( y = -x \) is at \( (0, 0) \).

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Beyond the Answer

To graph the equation \( y = -x \), start by plotting a couple of points. For instance, when \( x = 0 \), then \( y = -0 \), so the point (0, 0) is on the graph. When \( x = 1 \), \( y = -1 \), so the point (1, -1) is also on the graph. Connect these points, and you get a straight line that slopes downwards. The \( y \)-intercept is the value of \( y \) when \( x \) is 0. Here, when \( x = 0 \), \( y = 0 \). Thus, the \( y \)-intercept is the point (0, 0). This shows that the line crosses the \( y \)-axis at the origin!

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