Which equation represents the line that is perpendicular to y= 1/6 and passes through (-8,-2)?

We want to find a line that is perpendicular to y = 1/6 and that passes through (-8, -2), that line will be x = -8.

So we want to get a line, we know it must be perpendicular to y = 1/6.

Notice that y = 1/6 is a horizontal line, then our line must be vertical, this means that our line is something like x = constant.

Now if we want our line to pass through the point (-8, -2), the constant must be equal to the x-value of the point, this is:

x = constant = -8

x = -8

This is the equation of the line perpendicular to y = 1/6 and that passes through (-8, -2)

If you want to learn more about lines, you can read:

link

step-by-step explanation:

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step-by-step explanation: