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)

Question

Responses

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

(4,−2) and (6,−2)
left parenthesis 4 comma negative 2 right parenthesis and left parenthesis 6 comma negative 2 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 translate a point, you add the given number of units to the x-coordinate and the given number of units to the y-coordinate.

For the first point (1,-5), you move it 3 units up and 2 units to the right.

Adding 3 to the y-coordinate, -5 becomes -2.
Adding 2 to the x-coordinate, 1 becomes 3.

So the first translated point is (3,-2).

For the second point (4,-4), you also move it 3 units up and 2 units to the right.

Adding 3 to the y-coordinate, -4 becomes -1.
Adding 2 to the x-coordinate, 4 becomes 6.

So the second translated point is (6,-1).

Therefore, the correct answer is: (3, -2) and (6, -1).