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

Answer 1

To shift the line one unit to the right, we need to subtract one from the x-coordinate. Therefore, the x-coordinate will change to x-1.

To shift the line two units up, we need to add two to the y-coordinate. Therefore, the y-coordinate will change to y+2.

So, the new equation of the line will be y+2 = 3(x-1).