To find the points on the graph that represent the arena, we need to solve the equation x/2 + y/2 = 81 for different values of x and y.
First, let's solve for x when y = 0:
x/2 + 0/2 = 81
x/2 = 81
x = 81 * 2
x = 162
So, one point on the graph is (162, 0).
Next, let's solve for y when x = 0:
0/2 + y/2 = 81
y/2 = 81
y = 81 * 2
y = 162
Another point on the graph is (0, 162).
Finally, let's find the y-intercept:
0/2 + y/2 = 81
y/2 = 81
y = 81 * 2
y = 162
So the y-intercept is (0, 162).
Putting it all together, the three points on the graph that represent the arena are:
- (162, 0)
- (0, 162)
- (0, 162)