# How do you graph -4x+y=2?

Jul 15, 2017

Refer to the explanation.

#### Explanation:

Graph:

$- 4 x + y = 2$

You need to determine two points on the line. The easiest way is to determine the x- and y-intercepts.

X-Intercept: the value of $x$ when $y = 0$

$- 4 x + 0 = 2$

$- 4 x = 2$

Divide both sides by $- 4$.

$x = - \frac{2}{4}$

Simplify.

$x = - \frac{1}{2}$

Point: $\left(- \frac{1}{2} , 0\right)$

Y-Intercept: value of $y$ when $x = 0$

$- 4 \left(0\right) + y = 2$

$y = 2$

Point: $\left(0 , 2\right)$

Plot the two points and draw a straight line through them.

graph{-4x+y=2 [-14.58, 9.26, -4.22, 7.7]}