Use vector notation to describe a translation of the point A(1,-5) to the point A'(3,-3).

Answer 1

A(1,-3) to A'(3,-5), try plotting the points

x coordinate increases by 2 as y coordinate decreases by 2

they're 2 points on a line with slope = -1, the line's graph has y intercept (0,-2) and x intercept (-2,0)

the equation of the line through the points is: y=-x-2

to go from A to A' move down the line 2 units right and 2 units down.

That's a transformation of

horizontal shift of +2, and a vertical shift of -2

shift the line right 2 and down 2