Question

Graph the linear equation find three points that solve the equation x - 3y = -6

Answer 1

Solving the given equation for y we get:

`\begin{gathered} x-3y=-6, \\ -3y=-6-x, \\ y=-(6+x)/(-3)=(6+x)/(3), \\ y=(1)/(3)x+2. \end{gathered}`

Therefore, when x=0, y=2, when x=3, y=3, and when y=0, x= -6.

Answer:

Points (0,2), (3,3), and (-6,0) are solutions to the given equation.

The graph of the linear equation is as follows: