Question

What point can we use to create the graph of y- 7 =3(x+5)

Answer 1

`(-5,7)`

Explanation:

The correct point would be that when the value of x is replaced, the value of y is the corresponding value, we try with each option like this

`\begin{gathered} (7,3)\rightarrow y-7=3\mleft(7+5\mright)​\rightarrow y=36+7\rightarrow y=43\rightarrow(7,43)\rightarrow incorrect \\ (3,-5)\rightarrow y-7=3(3+5)​\rightarrow y=24+7\rightarrow y=31\rightarrow(3,31)\rightarrow incorrect \\ (7,-5)\rightarrow y-7=3(7+5)​\rightarrow y=36+7\rightarrow y=43\rightarrow(7,43)\rightarrow incorrect \\ (-5,7)\rightarrow y-7=3(-5+5)​\rightarrow y=0+7\rightarrow y=7\rightarrow(-5,7)\rightarrow correct \end{gathered}`