Answer:
Perpendicular.
Explanation:
We will need to recall the basic definitions below:
• The slope-intercept form of the equation of a line is y=mx+b.
• Two lines are parallel if their slopes are the same.
,• Two lines are perpendicular if the product of their slopes is -1.
Given the two lines:
[tex]\begin{gathered} y=\frac{1}{5}x-2 \\ \implies\text{Slope}=\frac{1}{5} \end{gathered}[/tex]The second line:
[tex]\begin{gathered} 5x+y=3 \\ \implies y=-5x+4 \\ \implies\text{Slope}=-5 \end{gathered}[/tex]The product of the slopes:
[tex]\begin{gathered} =\frac{1}{5}\times-5 \\ =-1 \end{gathered}[/tex]Thus, the two lines are perpendicular.
