How is translating a figure on x-y coordinate axes like adding and subtracting using a number line?

When translating a figure, all you are doing is moving the x-y coordinates according to where it needs to go.  So, if it moves to the right, you are adding a number to the coordinates, or if it moves to the left you will be subtracting from the coordinates, just like when you add or subtract on a number line.

(6,1)(5,4)slope = (4 - 1) / (5 - 6) = 3/-1 = -3y = mx + bslope(m) = -3use either of ur , = 6 and y = 1now sub and find b, the y int1 = -3(6) + b1 = -18 + b1 + 18 = b19 = bso ur equation is : y = -3x + we need it in standard formy = -3x + 3x to both sides3x + y = 19 < == standard form