Graph the line. \[ x-y=3 \]

To graph the line \( x - y = 3 \), follow these steps: 1. **Find the y-intercept:** Set \( x = 0 \) and solve for \( y \). \[ 0 - y = 3 \] \[ -y = 3 \] \[ y = -3 \] So, the y-intercept is at the point \( (0, -3) \). 2. **Find the x-intercept:** Set \( y = 0 \) and solve for \( x \). \[ x - 0 = 3 \] \[ x = 3 \] So, the x-intercept is at the point \( (3, 0) \). 3. **Plot the points:** Plot the y-intercept \( (0, -3) \) and the x-intercept \( (3, 0) \) on the coordinate plane. 4. **Draw the line:** Connect the two points with a straight line. This line represents the graph of the equation \( x - y = 3 \). Here's a visual representation of the steps: ``` y | | * | / | / | / | / |/ +----------------- x 0 3 ``` The asterisk (*) represents the y-intercept \( (0, -3) \), and the open circle represents the x-intercept \( (3, 0) \). The line connecting these two points is the graph of the equation \( x - y = 3 \).