Answer:
Lines are perpendicular to each other .
Step-by-step explanation:
Standard equation of line is : y = mx + c, Where m represents the slope
Given Equations :
[tex]y = -5x + 1\\\\Slope , m_1 = -5[/tex]
[tex]y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}[/tex]
Two lines are parallel if the slope of the lines are same.
Two line are perpendicular if the product of the slope = - 1
Clearly slopes are not equal , therefore the lines are not parallel.
product of the slope is - 1, therefore the lines are perpendicular.
[tex]m_1 \times m_2 = -5 \times \frac{1}{5} = - 1[/tex]
