Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines equals - 1
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The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 5y = 30 into this form by subtracting x from both sides
- 5y = - x + 30 ( divide all terms by - 5 )
y = [tex]\frac{1}{5}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
y = - 5x + 1 ← is in slope- intercept form
with slope m = - 5
Clearly the slopes are not equal, hence the lines are not parallel
However,
- 5 × [tex]\frac{1}{5}[/tex] = - 1
Thus the lines are perpendicular
