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Are thegraphs of the equations parallel, perpendicular, or neither? y = -5x and 25x + 5y = 1

Sagot :

The slope intercept form of the equation of line is written as

y = mx + c

where

m represents slope

c represents y intercept

For the first equation,

y = - 5x

Slope, m = - 5

For the second equation,

25x + 5y = 1

5y = 1 - 25x

5y = - 25x + 1

Dividing both sides of the equation by 5, it becomes

y = - 5x + 1/5

Slope, m = - 5

If the slope of two equations are equal, it means that the lines are parallel. Since the slope of both equations is - 5, then they are parallel

They are parallel