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

1 Answer
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 #(6, -10)#

For #y = -5# #x = 6# or #(6, -5)#

For #y = 0# #x = 6# or #(6, 0)#

For #y = 5# #x = 6# or #(6, 5)#

For #y = 10# #x = 6# or #(6, 10)#

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]}