Problem

Graph the linear equation by finding and plotting its intercepts.
\[
x-y=2
\]
Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

Answer

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Answer

The final answer is: The x-intercept is \(\boxed{2}\) and the y-intercept is \(\boxed{-2}\). These are the points (2,0) and (0,-2) respectively. We can plot these points on the graph and draw a line through them to represent the equation \(x - y = 2\).

Steps

Step 1 :To graph the linear equation, we need to find the x-intercept and the y-intercept. The x-intercept is the point where the line crosses the x-axis, which means y = 0. The y-intercept is the point where the line crosses the y-axis, which means x = 0. We can find these intercepts by setting x = 0 and y = 0 in the equation and solving for the other variable.

Step 2 :Set x = 0 in the equation, we get y = -2. So the y-intercept is -2.

Step 3 :Set y = 0 in the equation, we get x = 2. So the x-intercept is 2.

Step 4 :The final answer is: The x-intercept is \(\boxed{2}\) and the y-intercept is \(\boxed{-2}\). These are the points (2,0) and (0,-2) respectively. We can plot these points on the graph and draw a line through them to represent the equation \(x - y = 2\).

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