Are the following lines parallel, perpendicular or neither? 5y - x = 5 5y - x = -5 a parallel b perpendicular c neither

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 = x + 1 ← in slope- intercept form

with slope m =

5y - x = - 5 ( add x to both sides )

5y = x - 5 ( divide all terms by 5 )

y = x - 1 ← in slope- intercept form

with slope m =

Since slopes are equal then the lines are parallel

pla·gia·rism

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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