Question

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

y=-2x+4
-5x+10y=5
A:Parallel
B:Perpendicular
C: Neither

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=(-1/5)x+6
-2x+10y=5
A:Parallel
B:Perpendicular
C:Neither
PLEASE HELP ASAP

Answer 1

1) Perpendicular

2) Neither

Explanation:

Line 1: y = -2x + 4

Line 2: -5x + 10y = 5

10y = 5x + 5

y = ½x + ½

m1 = -2

m2 = ½

Since m1×m2 = -2 × ½ = -1

(Perpendicular)

Line 1: y= -⅕x + 6

Line 2: -2x+10y=5

10y = 2x + 5

y = ⅕x + ½

m1 = -⅕

m2 = ⅕

Since m1 and m2 are not equal, not parallel

Since m1×m2 = -⅕×⅕ = -1/25 which is not -1, not Perpendicular

So neither

Answer 2

y = -2x + 4

-5x + 10y = 5

10y = 5x + 5

y = 5/10x + 5/10

y = 1/2x + 1/2

Perpendicular. Because the slope is a reciprocal of the first slope.

y = (-1/5)x + 6

-2x + 10y = 5

10y = 2x + 5

y = 2/10x + 5/10

y = 1/5x + 1/2

They have the same slope but their sign is opposite causing it to intersect each other with no other relation.

Neither.