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Coordinate of K:  (3, 1)

Step-by-step explanation:

The rule

(x + 1, y + 5) tells us

Add 1 to x point (coordinate)

and

Add 5 to y point (coordinate)

Lets look at the diagram and figure out the coordinates of K:

From origin, we go 2 units right and 4 units down, so coordinate of K is:

(2, -4)

Now we apply the rule:

(2 + 1, -4 + 5)

= (3, 1)

The new coordinates of K will be:

(3, 1)

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign