Question

Graph the equation x + 4y equals -6 by plotting points

Answer 1

We are given the following equation:

`x+4y=-6`

We can solve for "y" first by subtracting x to both sides:

`4y=-6-x`

now we divide both sides by 4:

`y=-(6)/(4)-(x)/(4)`

Simplifying:

`y=-(3)/(2)-(x)/(4)`

Since the equation is of the form:

`y=mx+b`

This is the equation of a line. Therefore, to plot this line we only need to points. We find the points by giving values to "x".

For x = 0:

`\begin{gathered} y=-(3)/(2)-(0)(1)/(4) \\ y=-(3)/(2) \end{gathered}`

Therefore the point (0, -3/2) is part of the line.

For x = 1

`\begin{gathered} y=-(3)/(2)-(1)/(4) \\ y=-(7)/(4) \end{gathered}`

therefore, the point (1, -7/4) is part of the line. Now we plot this to points and join them with a line, like this: