Is x-5y=30 and y=-5x+1 parallel perpendicular or neither

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 = x - 6 ← in slope- intercept form

with slope m =

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 × = - 1

Thus the lines are perpendicular

45

step-by-step explanation:

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