The equation of a line with slope m that passes thorugh the point (x1,y1) is given as:
[tex]y-y_1=m(x-x_1)[/tex]Plugging the values we know we have:
[tex]\begin{gathered} y-0=\frac{1}{2}(x-6) \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]Therefore the equation of the line is:
[tex]y=\frac{1}{2}x-3[/tex]To find the graph we need another point. If x=0, then:
[tex]\begin{gathered} y=\frac{1}{2}(0)-3 \\ y=-3 \end{gathered}[/tex]Then we have the point (0,3). Plotting the points (0,3) and (6,0) and join them with a straign