Question

Graph the linear equation. Find 3 points that solve the equation then plot on the graph.-x+ 2y=2

Answer 1

The equation can be re-written in slope-intercept form as;

`\begin{gathered} y=mx+b \\ 2y=2+x \\ y=(2+x)/(2) \\ y=(2)/(2)+(x)/(2) \\ y=1+(x)/(2) \\ y=(1)/(2)x+1 \end{gathered}`

The graph is shown below;

Three points that solve this equation are shown in the graph plotted as follows;

`\begin{gathered} A(0,1) \\ B(2,2) \\ C(8,5) \end{gathered}`