Question

Please answer this question!! 30 POINTS AND BRAINLIEST!!

Answer 1

Answer:

Yes, they are parallel

Step-by-step explanation:

You can rewrite the second equation in slope intercept form to get your answer.

x-2y-8=0

-2y=-x+8

y=1/2x-4

Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!

Answer 2

Answer:

see below

Step-by-step explanation:

Take the second equation and put it in slope intercept form

y = 1/2x+3

x -2y -8=0

Subtract x from each side

x-2y-8-x = 0-x

-2y -8 = -x

Add 8 to each side

-2y -8+8 = -x+8

-2y = -x+8

Divide each side by -2

-2y/-2 = -x/-2 +8/-2

y = 1/2 x -4

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The slopes are the same  and the y intercepts are different which means they are parallel lines.  If they had the same slopes and the same y intercept they would be the same line