show that the straight lines 2x+3y-8=0 and 4x+6y+18 =0 are parallel
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Step-by-step explanation:
To show we will see if it satisy V=kU for u and v are parallel lines and k is any scalar. If some vectors or lines satisfy above equation i.e one is scalar multiple of other they are called parallel.
Let u =2x+3y-8
V=4x+6y+18
For V its clear v=2(2x+3y+9)
It can now written as
V=2u (after putting value of u)
Its clear now one line is a scalar multiple of other so they are parallel.
You can also check with the help of slopes slope of both lines are same so they are parallel.
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