Affine transform given 4 points

How can I get a 3x3 matrix representing all the transformations (scale,rotation) to apply to an image drawn on a canvas given 4 points x1,y1...x4,y4 representing the ROI(sub-image) that I want to zoom and rotate on?

The first coordinates x1,y1 should be transformed to the top left corner(0,0) of the canvas and x2,y2 to the bottom right corner of the canvas(canvas.width, canvas.height).

Thank you very much for your help!

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