Question

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

y=3x+1
𝑦
=
3
𝑥
+
1
y equals 3 x plus 1

y=4x+2
𝑦
=
4
𝑥
+
2
y equals 4 x plus 2

y=5x+3
𝑦
=
5
𝑥
+
3
y equals 5 x plus 3

y=3x−1

Answer 1

y = 3x + 1

Reason: After translating right 1 and up 2, replace x by (x−1) and y by (y−2) in the original equation: y−2 = 3(x−1)+2 → y = 3x+1.