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I wanted to make a test bank of graphs of linear equations for my algebra classes. I want the $y$-intercept of each graph to be an integer no less than $-10$ and no greater than $10$. Generally, you want these graphs to be small, so i've decided on a $20 \times 20$ grid (10 units from the origin). Additionally, i would like students to be able to see a second integral point on this grid, so they can find the slope. How many possible graphs would be in this test bank? How did you get the solution?

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