Question

Identify the equation of the line graphed. A. 4x + y = 2B. x + 4y = 8C. 4x y = -2 D. -x 4y = -8

Answer 1

A simple way to identify the graph of a linear equation is find two point in the graph that satisfies the equation. In this case, the points (0,2) and (4,1) are in the line, so we need to find the equation.

`\begin{gathered} 4(0)+2=0+2=2\text{ } \\ 4(4)+1(2)=16+1=17 \end{gathered}`

so it is not the first one

`\begin{gathered} 0+4(2)=8 \\ 4+4(1)=8 \end{gathered}`

The points satisfy this equation (the number B.) so this is the equation of the line.