Lizzy is tiling a kitchen floor for the first time. She had a tough time at first and placed only 2 tiles the first day. She started to go faster and by the end of day 4, she had placed 32 tiles. She worked at a steady rate after the first day. Use an equation in point-slope form to determine how many days Lizzy took to place all of the 100 tiles needed to finish the floor. Solve the problem using an equation in point-slope form. Lizzy took __ days to place all the tiles.