Question

substitute each ordered pair into the given equation. choose all ordered pairs that satisfy the equation1) y = 3x - 1 a) (2,7) b) (0,-1) c) (0,1) d) (2,5) e) (-1,-4)

Answer 1

`\begin{gathered} \text{Given} \\ y=3x-1 \end{gathered}`

Substituting each ordered pair we have the following

a.) (2,7)

`\begin{gathered} \text{IF }(x,y)=(2,7)\text{ THEN} \\ y=3x-1 \\ 7\questeq3(2)-1 \\ 7\questeq6-1 \\ 7\\eq5 \end{gathered}`

b.) (0,-1)

`\begin{gathered} \text{IF }(x,y)=(0,-1)\text{ THEN} \\ y=3x-1 \\ -1\questeq3(0)-1 \\ -1=-1\checkmark \end{gathered}`

c.) (0,1)

`\begin{gathered} \text{IF }(x,y)=(0,1)\text{ THEN} \\ y=3x-1 \\ 1\questeq3(0)-1 \\ 1\\eq-1 \end{gathered}`

d.) (2,5)

`\begin{gathered} \text{IF }(x,y)=(2,5)\text{ THEN} \\ y=3x-1 \\ 5\questeq3(2)-1 \\ 5\questeq6-1 \\ 5=5\checkmark \end{gathered}`

e.) (-1,-4)

`\begin{gathered} \text{IF }(x,y)=(-1,-4)\text{ THEN} \\ y=3x-1 \\ -4\questeq3(-1)-1_{} \\ -4\questeq-3-1 \\ -4=-4\checkmark \end{gathered}`

Therefore, the coordinates that satisfies the equation y = 3x - 1 are (0,-1), (2,5), and (-1,-4)