How do you graph 4x+y=0?

2 Answers
Mar 5, 2018

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

Explanation:

To solve this equation, first move the 4x4x to the other side to make the yy by itself. Do this by subtracting 4x4x from each side.

y+4x-4x=0-4x y+4x4x=04x

Simplify

y=-4xy=4x

Once you simplify, plug in random values for xx (1, 2, 3, "etc")(1,2,3,etc) and then the answer you get is your yy value. You can use the graph for help.

Example:

x = 2 => y=-4(2) =-8x=2y=4(2)=8

So

x = 2, y = -8x=2,y=8

Mar 5, 2018

See explanation.

Explanation:

4x+y=04x+y=0
y=-4xy=4x

Since the equation has the form of y=axy=ax, we conclude that the graph will be a straight line passing through the (0,0)(0,0) point.

You then insert 22 values for xx (x_1,x_2)(x1,x2) and get 22 values for yy (y_1,y_2)(y1,y2).

So you have 22 coordinates: (x_1,y_1)(x1,y1) and (x_2,y_2)(x2,y2).

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

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