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.
Solution
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 \(x - y = 2\).
