Question

Find the slope of a line parallel to each given line

Answer 1

`k:\ y=m_1x+b_1\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_2=m_1`

`110)\ 0=-5y-x-10\ \ \ \ |+5y\\5y=-x-10\ \ \ \ |:5\\y=-(1)/(5)x-2\to\boxed{m=-(1)/(5)}\\\\111)\ -6y+18=-8x\ \ \ \ |-18\\-6y=-8x-18\ \ \ \ |:(-6)\\y=(8)/(6)x+3\to\boxed{m=(8)/(6)=(4)/(3)}\\\\112)\ 0=-y-(1)/(4)x\ \ \ \ |+y\\y=-(1)/(4)x\to\boxed{m=-(1)/(4)}`

`113)\ -6x+y-3=0\ \ \ \ |+6x\\y-3=6x\ \ \ |+3\\y=6x+3\to\boxed{m=6}\\\\114)\ -4y+3x=20\ \ \ \ |-3x\\-4y=-3x+20\ \ \ \ |:(-4)\\y=(3)/(4)x-5\to\boxed{m=(3)/(4)}`