Can you help me with questions number 7 R coordinate

SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given ordered pair
[tex]R(-2,7)[/tex]STEP 2: Explain trasnformation for x units to the right
To shift an ordered pair to the right means to add, therefore, the translation of 5 units to the right for ordered pairs will be:
[tex]R(-2+5,7)=R^{^{\prime}}(3,7)[/tex]STEP 3: Explain transformation x units down
To shift an ordered pair down means to subtract from the y-coordinate, therefore, the translation of 2 units down will be:
[tex]R(-2,7)=R^{^{\prime}}(-2,7-2)=R^{^{\prime}}(-2,5)[/tex]Hence, the new ordered pair will be:
[tex]R^{^{\prime}}(3,5)[/tex]