1. The problem asks to draw the lines given by the equations $y = x$ and $x + y = 7$ on a grid. 2. The first line is $y = x$, which means for every $x$ value, $y$ is the same. This is a straight line passing through the origin with a slope of 1. 3. The second line is $x + y = 7$. To graph this, solve for $y$: $$y = 7 - x$$ This line has a slope of $-1$ and a $y$-intercept of 7. 4. To find the intercepts of $x + y = 7$: - When $x=0$, $y=7$ (y-intercept). - When $y=0$, $x=7$ (x-intercept). 5. Plotting these points and lines on the grid will show the two lines intersecting. Final answer: The lines are $y = x$ and $y = 7 - x$.