Question

Complete the equation describe how x and y are related

Answer 1

From the given equation and the given table, let the missing are m and b

`y=mx+b`

To find them use two points from the table

Let us use point (0, -2)

`\begin{gathered} x=0,y=-2 \\ -2=m(0)+b \\ -2=0+b \\ -2=b \end{gathered}`

Substitute b in the equation by -2

`\begin{gathered} y=mx+(-2) \\ y=mx-2 \end{gathered}`

Now, use the point (1, 1) to find m

`\begin{gathered} 1=m(1)-2 \\ 1=m-2 \end{gathered}`

Add 2 to both sides

`\begin{gathered} 1+2=m-2+2 \\ 3=m \end{gathered}`

Substitute m by 3 in the equation, then

The equation is

`\begin{gathered} y=3x-2 \\ y=3x+(-2) \end{gathered}`

The answer is y = 3x + (-2)

The missings are 3