Lucy draws a line with the equation y = 3x + 2 She translates the fine by shifting it one unit to the right and two units up. Which is the equation of the new line? (1 point) y = 3x - 1; y = 5z + 3; y = 4x + 2; y = 3x + 1

1 answer

The translation of the line one unit to the right can be achieved by replacing x with (x - 1) in the equation y = 3x + 2. This gives us y = 3(x - 1) + 2, which simplifies to y = 3x - 1 after distributive property.

Similarly, the translation of the line two units up is achieved by adding 2 to the equation obtained from the previous step. Therefore, the equation of the new line is y = 3x - 1 + 2.

Simplifying this equation gives us y = 3x + 1.

Therefore, the correct equation of the new line after the translation is y = 3x + 1.