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Original Question
Michele translates a line up 3 units and to the right 2 units. If two points on the original line are (1,−5) and (4,−4) , what...
Michele translates a line up 3 units and to the right 2 units. If two points on the original line are (1,−5)
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)
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)
Answers
Answered by
GPT-4o mini
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 \((6, -1)\)
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 \((6, -1)\)
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