1. **State the problem:** We need to graph three lines on the same coordinate grid and identify the shape they form. 2. **List the equations:** - a. $y = x$ - b. $|x - 8| = 0$ - c. $|y - 4| = 0$ 3. **Interpret the absolute value equations:** - $|x - 8| = 0$ means $x - 8 = 0$, so $x = 8$. This is a vertical line crossing the x-axis at 8. - $|y - 4| = 0$ means $y - 4 = 0$, so $y = 4$. This is a horizontal line crossing the y-axis at 4. 4. **Graph each line:** - The line $y = x$ is a diagonal line passing through points like $(1,1)$, $(2,2)$, up to $(10,10)$. - The line $x = 8$ is vertical, passing through all points where $x$ is 8. - The line $y = 4$ is horizontal, passing through all points where $y$ is 4. 5. **Identify the shape formed:** - The lines $x=8$ and $y=4$ intersect at point $(8,4)$. - The line $y=x$ crosses these lines at points $(4,4)$ on $y=4$ and $(8,8)$ on $x=8$. - Together, these three lines form a right triangle with vertices at $(4,4)$, $(8,4)$, and $(8,8)$. 6. **Summary:** - Plot the diagonal line $y=x$. - Plot the vertical line $x=8$. - Plot the horizontal line $y=4$. - The intersection points form a right triangle. This completes the graphing and shape identification.