Question

The power line can be described by the equation shown below:

Y=-1/2x-2
Complete the table to find specific coordinates of the power line running through the yard

Answer 1

`\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}`

Explanation:

Given:

`y=-(1)/(2)x-2`

First, find y for given x:

When x = 0, then

`y=-(1)/(2)\cdot 0-2\\ \\y=-2`

When x = 6, then

`y=-(1)/(2)\cdot 6-2\\ \\y=-3-2\\ \\y=-5`

When x = 9, then

`y=-(1)/(2)\cdot 9-2\\ \\y=-4.5-2\\ \\y=-6.5`

Now find x for given y:

When y = -1, then

`-1=-(1)/(2)x-2\\ \\-1+2=-(1)/(2)x\\ \\1=-(1)/(2)x\\ \\-2=x\\ \\x=-2`

When y = -3, then

`-3=-(1)/(2)x-2\\ \\-3+2=-(1)/(2)x\\ \\-1=-(1)/(2)x\\ \\2=x\\ \\x=2`

So, the table is

`\begin{array}{cc}x&y\\ \\-2&-1\\0&-2\\2&-3\\6&-5\\9&-6.5\end{array}`