From these equations, what are the four pairs of parallel lines

1) y=1/4+3 2) -4y=5 3) y= -x+8 4) -1/2x=1 5) 1/3y-1=0 6) 4y-x+8=0 7) x/3+y/3=1 8) 3x-10=0

Please show the steps.

Thank You.

"1" has a slope of 0 or 1/4, depending on whether you forgot to put x after (1/4)
"2" has a slope of 0
"3" has a slope of -1
"4" has no slope
"5" has a slope of 0
"6" has a slope of 1/4
"7" has a slope of -1
"8" has no slope

Based on this:
"1" is parallel with "6", and you did forget to put in the x
"2" is parallel with "5"
"3" is parallel with "7"
"4" is parallel with "8"

the parallel lines are the ones which the gradient of the lines are identical.

if you have a line with equation y = mx + c, then m is the gradient.

therefore the 4 pairs of parallel lines are :

1 and 6 (as 6 can be rearranged to y =1/4 x - 2

2 and 5 (2 can be rearranged to y=-5/4 (gradient 0), 5 rearranges to y = 3 (gradient also 0))

3 and 7 (as 7 can be rearranged to y = -x + 3)

4 and 8 (4 rearranges to x = -2 (gradient ∞), 8 rearranges to x = 10/3 (gradient also ∞))

Two lines are parallel if they have the same slope. Write each equation in slope-intercept form. The ones with the same values for m will be a pair of parallel lines. In the case that that slope is undefined (vertical lines), the vertical lines are parallel.

1 & 6
2 & 5
3 & 7
4 & 8