Question 184701
</pre><font size=4><b>

The existing Line eqn {{{y=(-1/4)x-2}}} has a {{{Slope=m=-1/4}}}
*Remember: Parallel Lines have the same Slope: {{{m[1]=m[2]}}}
Therefore, passing thru (1,1), via Slope-Intercept Form:{{{y=mx+b}}}
{{{1=(-1/4)(1)+b}}}
{{{b=1+(1/4)=(4+1)/4=5/4}}}, Y-Intercept
Then it follows------>{{{highlight(y=(-1/4)x+(5/4))}}}, Answer
We'll see:
{{{drawing(400,400,-5,5,-5,5,grid(1),graph(400,400,-5,5,-5,5,(-1/4)x-2,(-1/4)x+(5/4)),blue(circle(1,1,.10)))}}}----> RED>>>> Existing Line {{{y=(-1/4)x-2}}}; GREEN>>>> {{{y=(-1/4)x+(5/4)}}}
Thank you,
Jojo</pre>