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What is the relationship between the lines determined by the following two equations?

15x−3y=−12
y = 5x + 7


They are the same line.


neither parallel nor perpendicular


perpendicular


parallel

Sagot :

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Answer:

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Step-by-step explanation:

to determine the relationship between these two lines you have to find the slope.

=> if they have the same slope ,then they are parallel.

=> if they have negative inverse slope relative to each other ,then they are perpendicular.

=> if the slope for both equations is neither of the above cases ,then the two equations are neither parallel nor perpendicular.

so if we divide the first equation by 3 which is the commen factor for the whole equation and arrange it in the form y=mx +b it would give us y =5x +4. and since the two have the same slope which is 5 ,then we can conclude they are parallel lines.

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