472,437 views
43 votes
43 votes
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

User Cortexlock
by
3.3k points

1 Answer

14 votes
14 votes

Answer:

D

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.

User Thiagowfx
by
3.3k points
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