Notice that the slope and y-intercept of each line are
[tex]\begin{gathered} y=-2x+10 \\ \Rightarrow slope=-2,y-intercept=10 \\ and \\ y=2x-5 \\ \Rightarrow slope=2,y-intercept=-5 \end{gathered}[/tex]
The y-intercepts are different; therefore, the two lines cannot be coincident; furthermore, their slopes are not the same so they cannot be parallel lines.
Finally, two lines are perpendicular if and only if the product of their slopes is equal to -1; in our case,
[tex]\begin{gathered} -2*2=-4\ne-1 \\ \Rightarrow\text{ the lines are not perpendicular} \end{gathered}[/tex]
Thus, the answer is that they are concurrent lines.
