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,−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)
left parenthesis 3 comma negative 2 right parenthesis and left parenthesis 6 comma negative 1 right parenthesis

(4,−3)
and (7,−2)

Answer 1

To find the new coordinates of the points after the translation, we start with the original points \((1, -5)\) and \((4, -4)\).

The translation involves moving each point 3 units up (which affects the y-coordinate) and 2 units to the right (which affects the x-coordinate).

1. For the point \((1, -5)\):

   • Update the x-coordinate: \(1 + 2 = 3\)
   • Update the y-coordinate: \(-5 + 3 = -2\)
   • New point: \((3, -2)\)

2. For the point \((4, -4)\):

   • Update the x-coordinate: \(4 + 2 = 6\)
   • Update the y-coordinate: \(-4 + 3 = -1\)
   • New point: \((6, -1)\)

Thus, the new coordinates after the translation are \((3, -2)\) and \((6, -1)\).

The correct response is: \((3, -2)\) and \((6, -1)\)