are these 2 equations parallel?

y=2x+5
-2x+y=-2
thanks, and no answers such as "x" and nothing else like on person has been doing

Anonymous2008-12-19T19:39:12Z

Favorite Answer

yes
cuz
y=mx+b
mx= the slope of the line
so..

y= 2x+5

slope = 2

-2x+y = -2

move the 2 over to the other side

y=2x-2

slope = 2

YES they are PARALLEL

FYI - parallel slopes is when 2 lines have the same slope EX: this problem

-perpendicular lines is when 2 lines have the opposite slope EX: Line one has a slope of 5, in order to be perpendicular line 2 slope would have to be -1/5 (negative)

Anonymous2008-12-19T19:37:27Z

Parallel equations have the same slope. So, what I would do, I would solve the second equation for y first:

-2x+y=-2
y=-2+2x

So, the slope of this equation is 2, which is the same as the first one, meaning that, yes, the two equations are parallel.

Anonymous2008-12-19T19:37:34Z

yes, because when u move the -2x to the right side, it becomes 2x which is exactly the same as the other slope. When two slopes are the same the lines are parallel.

England_Ace2008-12-19T19:35:18Z

Rewrite the second equation in slope-intercept form

y=2x-2, y=2x+5

yes, they are parallel because they both have slopes of 2

Anonymous2008-12-19T19:36:46Z

leave y=2x + 5 alone


for other eq... you..

add 2x to each side so its y= 2x -2


parallel lines = same slope

slope of line 1 = 2x
slope of line 2 = 2x


parallel yes

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