Question

Are the following lines parallel, perpendicular, or neither: y = -2x + 8 and 2x + y = 10

Answer 1

Step-by-step explanation:

Given lines are :

y= -2x+8 =>2x+y-8=0

we have, a1=2, b1=1 ,c1=-8

and 2x+y=10=>2x+y-10=0

we have , a2=2, b2=1,c2= -10

a1/a2=2/2=1

b1/b2=1/1=1

c1/c2=-8/-10=4/5

Therefore, a1/a2=b1/b2≠c1/c2

Given lines are inconsistent lines or parallel lines with no solution.