Michele translates a line up 3 units and to the right 2 units. If two points on the original line are (1,−5)

Question

and (4,−4)
, what are these two points following the translation?(1 point)
Responses

(4,−3)
and (7,−2)
left parenthesis 4 comma negative 3 right parenthesis and left parenthesis 7 comma negative 2 right parenthesis

(4,−2)
and (6,−2)
left parenthesis 4 comma negative 2 right parenthesis and left parenthesis 6 comma negative 2 right parenthesis

(1,5)
and (4,4)
left parenthesis 1 comma 5 right parenthesis and left parenthesis 4 comma 4 right parenthesis

(3,−2)
and (6,−1)

Answer 1

To find the new points after the translation of 3 units up and 2 units to the right, we need to apply this transformation to each of the original points.

1. Starting point: \((1, -5)\)

   • Move 3 units up: \(-5 + 3 = -2\)
   • Move 2 units to the right: \(1 + 2 = 3\)

   The new point is \((3, -2)\).

2. Second point: \((4, -4)\)

   • Move 3 units up: \(-4 + 3 = -1\)
   • Move 2 units to the right: \(4 + 2 = 6\)

   The new point is \((6, -1)\).

So, the two points after the translation are \((3, -2)\) and \((6, -1)\).

The correct response is:

(3,−2) and (6,−1).