are these 2 equations parallel?

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)

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.

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.

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

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

Solve both for y so they are in slope-intercept form. One is already solved for y, so you just need to adjust the other:

-2x+y=-2

y=2x-2

Therefore your two equations are:

y=2x-2

y=2x+5

These equations have the same slope (coefficient of x), so they are indeed parallel.

y=mx+b where m is the slope

y=2x+5 and y=2x-2 have the same number for m, the same slope, and are therefore parrallel

Yupp.

y=2x+5

y=2x-2

See how they both have 2x? That means that they both have the same slopes, which means that they are parallel.

yes.

set -2x + y = -2 to y =mx+ b form.

y= 2x -2

equal slope = parallel lines.

yes! if you see that both the numbers in front of x are the same, they have equal slopes which means they are parallel