Question

Graph the equation x + 4y equals negative 6 but plotting points

Answer 1

In order to graph the equation, we need to find two points that are solution of the equation, then we plot the points and the line that passes through both points.

To find the points, we can choose values for x and then calculate the correspoding values of y.

For x = -2 and x = 2, we have:

`\begin{gathered} x=-2\colon \\ -2+4y=-6 \\ 4y=-6+2 \\ 4y=-4 \\ y=-1 \\ \\ x=2\colon \\ 2+4y=-6 \\ 4y=-8 \\ y=-2 \end{gathered}`

So we have the points (-2, -1) and (2, -2). Graphing the points and the line, we have: