How do you graph 4x+y=0?

Mar 5, 2018

graph{y=-4x [-10, 10, -5, 5]}

Explanation:

To solve this equation, first move the $4 x$ to the other side to make the $y$ by itself. Do this by subtracting $4 x$ from each side.

$y + 4 x - 4 x = 0 - 4 x$

Simplify

$y = - 4 x$

Once you simplify, plug in random values for $x$ $\left(1 , 2 , 3 , \text{etc}\right)$ and then the answer you get is your $y$ value. You can use the graph for help.

Example:

$x = 2 \implies y = - 4 \left(2\right) = - 8$

So

$x = 2 , y = - 8$

Mar 5, 2018

See explanation.

Explanation:

$4 x + y = 0$
$y = - 4 x$

Since the equation has the form of $y = a x$, we conclude that the graph will be a straight line passing through the $\left(0 , 0\right)$ point.

You then insert $2$ values for $x$ $\left({x}_{1} , {x}_{2}\right)$ and get $2$ values for $y$ $\left({y}_{1} , {y}_{2}\right)$.

So you have $2$ coordinates: $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$.

You mark them as points and draw a straight line that passes through both points and the $\left(0 , 0\right)$ point.

graph{y=-4x [-10, 10, -5, 5]}