paralell lines have the same slope
in form y=mx+b, m is the slope
given
, we can match and compare with y=mx+b form
![y=(1)/(2)x+3](https://img.qammunity.org/2019/formulas/mathematics/high-school/aryh8ktz0le09yt5z9w3mll1svfnk3cv5f.png)
vs
![y=mx+b](https://img.qammunity.org/2019/formulas/mathematics/college/hmt7wxoetxgettvoxgzsv2e1z1jn04v2qq.png)
we can see that
and
![b=3](https://img.qammunity.org/2019/formulas/mathematics/high-school/9ghipnn0zsbi19xmia7yqerk7rszb9c9yv.png)
this tells us that m, the slope, is equal to
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
since parallell lines have the same slope, the slope of a line paralell to
is
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
the slope of a line paralell to
is
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)