# How do you graph the line 4x - 2y = (-1)?

Sep 6, 2017

See below.

#### Explanation:

Rearrange the equation into the form $y = m x + c$

where $m$ is the gradient and $c$ is the $y$ axis intercept.

From example:
$4 x - 2 y = \left(- 1\right)$

Subtracting $4 x$ from both sides:

$- 2 y = - 4 x - 1$

Dividing by $- 2$

$y = 2 x + \frac{1}{2}$

$y$ axis intercept has coordinates $\left(0 , \frac{1}{2}\right)$

Plug a value for $x$ into equation to generate a value for $y$

Example: $x = 4$ then $y = \frac{17}{2}$

Coordinates for new point $\left(4 , \frac{17}{2}\right)$

Then draw a line between these two points.