How do you graph #4x+1=9# by plotting points?

1 Answer
Jul 19, 2016

Answer:

#x=2# is a vertical line through #(2.0)#

Explanation:

Let's start off by simplifying the equation a bit.

#4x = 9-1 =8#

#4x = 8 " "rArr x = 2#

#x= "any number"# is the equation of a vertical line which passes through the x-axis at #x =2#

You can plot any number of points, but you will find that no matter what y-value is used, the x-value is always 2.

All the points will be #(2, y)#

Vertical lines cannot be written in standard form #y = mx +c#.
They have a slope which is undefined.
They do not have a y=term at all.