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.
Answer:
1) Perpendicular
2) Neither
Step-by-step 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
