How do you graph the equation by plotting points x=6?

Aug 22, 2017

See a solution process below:

Explanation:

This equation produces a value of $6$ for each and every value of $y$.

So:

For $y = - 10$ $x = 6$ or $\left(6 , - 10\right)$

For $y = - 5$ $x = 6$ or $\left(6 , - 5\right)$

For $y = 0$ $x = 6$ or $\left(6 , 0\right)$

For $y = 5$ $x = 6$ or $\left(6 , 5\right)$

For $y = 10$ $x = 6$ or $\left(6 , 10\right)$

We can plot these points as:

graph{((x-6)^2+(y+10)^2-0.2)((x-6)^2+(y+5)^2-0.2)((x-6)^2+y^2-0.2)((x-6)^2+(y-10)^2-0.2)((x-6)^2+(y-5)^2-0.2)=0 [-26, 26, -13, 13]}

We can now draw a line through the points to graph the equation:

graph{((x-6)^2+(y+10)^2-0.2)((x-6)^2+(y+5)^2-0.2)((x-6)^2+y^2-0.2)((x-6)^2+(y-10)^2-0.2)((x-6)^2+(y-5)^2-0.2)(x - 6)=0 [-26, 26, -13, 13]}