Write an equation in standard form for the line that passes through the given points. left parenthesis 6 comma negative 5 right parenthesis and left parenthesis 6 comma negative 3 right parenthesis

Answer 1

Good Question. Typically when we are given two points and asked to write an equation for the that passes through both points, we start by calculating the slope of that line.

Slope = Rise / Run = (change in Y ) / (change in X)

The points in your equation are (6, -5) and (6, -3)

The first step then is to calculate the slope (change in Y / change in x)

You can find the change in Y by subtracting -3 from -5 = 2 (that is moving from -5 to -3 involves moving 2 units)

What happens when you try to find the change in X?

We notice there is no change in X (that is the x value is the same in both points), so our change is Zero.

To find Slope we divide the run (2) by the rise (0), but we can't divide by zero! Because of this we say the slope is UNDEFINED ( there is no change in X).

If you were to plot the two points (6, -5) and (6, -3) and connect them, you will see that the result is a vertical line. All the points on that line have one thing in common; their x value equals 6.

The question is what is the equation for line that has an x value equal to 6 and y can be any value?

Or, what is the equation of a vertical line with an x value of equals 6?

Answer 2

Please write out the equation in the usual form---eg using actual parentheses, commas, signs, etc

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