Question

The coordinates of (-6, 4) satisfy the equation y = 1/3x + 6 because (-6, 4)

Answer 1

We can find if a pair (x,y) satisfy a equation if we replace the values of x and y in the equation and we get an identity (like 0=0). If not, the pair is not a solution to the equation.

We will test this for the pair (-6,4) and the equation y=1/3*x+6:

`\begin{gathered} (x,y)=(-6,4) \\ y=(1)/(3)x+6 \\ 4=(1)/(3)(-6)+6_{} \\ 4=-(6)/(3)+6 \\ 4=-2+6 \\ 4=4\longrightarrow\text{True} \end{gathered}`

Ir a ordered pair or point satisfy the equation of a function, it means that this point belongs to the function.

Answer: the coordinates of (-6, 4) satisfy the equation y = 1/3*x + 6 because (-6, 4) ​belongs to the function.