Question

The line y=−x+1
𝑦
=
−
𝑥
+
1
is drawn on the coordinate plane. It is translated 1 unit to the right and 2 units up. What is the equation of the translated line?(1 point)
Responses

y=x+3
𝑦
=
𝑥
+
3
y equals x plus 3

y=x+4
𝑦
=
𝑥
+
4
y equals x plus 4

y=−x+4
𝑦
=
−
𝑥
+
4
y equals negative x plus 4

y=3

Answer 1

y = −x + 4

Reason: For a right 1, up 2 translation replace (x,y) by (x−1,y−2) in the original equation: y−2 = −(x−1)+1 → y−2 = −x+2 → y = −x+4.