Consider a 2-unit (x-axis) by 5-unit (y-axis) rectangle whose lower-left corner is at (-1,0) and whose upper-right corner is at (1,5). Construct the combined transformation matrix that adjusts this rectangle to be a 10-unit by 2-unit rectangle whose lower-left corner is at (-5,2).

Suggestions: Start by translating one corner to the origin.

Test your matrix by verifying that it transforms all four corners correctly.