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

Jul 19, 2016

$x = 2$ is a vertical line through $\left(2.0\right)$

#### Explanation:

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

$4 x = 9 - 1 = 8$

$4 x = 8 \text{ } \Rightarrow x = 2$

$x = \text{any number}$ 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 $\left(2 , y\right)$

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