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Point M (-3, 5) is translated using this rule. (x, y) ----> (x - 1, y) What are the coordinates of M'?

Sagot :

Answer:

The coordinates of point M' are [tex]M'(x,y) = (-4, 5)[/tex].

Step-by-step explanation:

According to the statement, we have the following translation rule:

[tex]M'(x,y) = M(x,y) + (-1, 0)[/tex] (1)

Where:

[tex]M(x,y)[/tex] - Original point.

[tex]M'(x,y)[/tex] - Translated point.

[tex](-1, 0)[/tex] - Translation vector.

If we know that [tex]M(x,y) = (-3, 5)[/tex], then the coordinates of the point M' are:

[tex]M'(x,y) = (-3,5) + (-1,0)[/tex]

[tex]M'(x,y) = (-4, 5)[/tex]

The coordinates of point M' are [tex]M'(x,y) = (-4, 5)[/tex].