# How do you graph y+4x=1?

May 2, 2018

$y + 4 x = 1$

$y = - 4 x + 1$

$y = - 4 \cdot \left(- 5\right) + 1 = 21$
$y = - 4 \cdot \left(- 2\right) + 1 = 9$
$y = - 4 \cdot \left(0\right) + 1 = 1$
$y = - 4 \cdot \left(2\right) + 1 = - 7$
$y = - 4 \cdot \left(5\right) + 1 = - 19$

We can now draw a line through the coordinates,
$\left(- 5 , 21\right) , \left(- 2 , 9\right) , \left(0 , 1\right) , \left(2 , - 7\right) , \left(5 , - 19\right)$

#### Explanation:

Let everything $y$ should be equal to on one side. Giving,

$y = - 4 x + 1$

From there, make a table for your calculations. One for $x$ values and the other for what $y$ gives after replacing the $x$ values with numbers.

Since $x$ can be anything, and will go on infinitely. We can make up numbers to what $x$ can be at certain times. In the table above, I have chosen $x$ to be $- 5 , - 2 , 0 , 2 , 5$ and seen what happen when I replaced these numbers with $x$ in $y = - 4 x + 1$.

One calculation will for example be,
$y = - 4 \cdot \left(- 5\right) + 1 = 21$
Which basically means that when $x = - 5$ the $y$-axis will be at $21$.

Another is ,
$y = - 4 \cdot \left(2\right) + 1 = - 7$
Which means that when we choose $x = 2$ we will get a point on the $y$-axis being $- 7$.

This is something we can see on the graph above too. For example, when $x = 0$ then $y = 1$.

Since this is a straight line, we would basically just need to points to draw our line between and out from. Since this line goes on to the infinite.