Slope of the line is:
[tex]-\frac{1}{2}[/tex]point(2,5)
General equation of line is:
[tex]y=mx+c[/tex]where:
[tex]\begin{gathered} (x,y)\text{ = point} \\ m=\text{slope} \\ c=\text{ y-intercept} \end{gathered}[/tex]The value of "c" is:
[tex]\begin{gathered} y=mx+c \\ m=-\frac{1}{2} \\ (x,y)=(2,5)_{} \\ 5=\frac{-1}{2}\times2+c \\ 5=-1+c \\ c=5+1 \\ c=6 \end{gathered}[/tex]so equation of line is:
[tex]\begin{gathered} y=mx+c \\ y=\frac{-1}{2}x+6 \\ y=-\frac{x}{2}+6 \end{gathered}[/tex]Then graph of line is:
