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#1: Find the point that lies on the line determined by the points (1,-2) and (-3,1).

The answer is (5,-5), but I don't know why...

#2: Write an equation satisfied by the graph obtained by shifting y=2x-5 three units to the left.

The answer is y=2x+1

I know when an equation is shown moving to the left, it is put in parentheses and a number is added to it (for example y=x^2 becomes y=(x^2+2) when it is moved two places to the left). However, I do not know how to do this problem.

Could someone please help me?