Graph the equation.
-x + 5y = 35
To graph the equation -x + 5y = 35, we can rearrange it in terms of y to get y = (1/5)x + 7.
Let's plot the graph by selecting some values for x and finding the corresponding values for y:
When x = 0, y = (1/5)(0) + 7 = 7
When x = 5, y = (1/5)(5) + 7 = 1 + 7 = 8
When x = 10, y = (1/5)(10) + 7 = 2 + 7 = 9
By connecting these points on a graph, we can see that the line passes through (0, 7), (5, 8), and (10, 9).