Lucy draws a line with the equation y = 3x + 2 She translates the line by shifting it one unit to the right and two units upWhich is the equation of the new line?

1 answer

To shift a line one unit to the right, we replace x with (x - 1) in the equation.

To shift a line two units up, we replace y with (y + 2) in the equation.

So, to translate the line y = 3x + 2 one unit to the right and two units up, the equation of the new line is:

(y + 2) = 3(x - 1).