Answer :
Answer:
Parallel lines
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
Rearrange the 2 equations into this form and compare slopes
5y - x = 5 ( add x to both sides )
5y = x + 5 ( divide all terms by 5 )
y = [tex]\frac{1}{5}[/tex] x + 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
5y - x = - 5 ( add x to both sides )
5y = x - 5 ( divide all terms by 5 )
y = [tex]\frac{1}{5}[/tex] x - 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Since slopes are equal then the lines are parallel