Question 168879
Point Slope Form: {{{m=(y[2]-y[1])/(x[2]-x[1])}}}
Points: (0,0) and  (-6,_5)
Subst.: {{{m=(-5-0)/(-6-0)=-5/-6}}}
{{{highlight(m=5/6)}}}, ANSWER
Line eqn: via Slope intercept form:
{{{y=(5/6)x+b}}}
Thru points (0,0): --->{{{b=0}}} y-intercept
As we see in the graph,
{{{drawing(300,300,-5,5,-5,5,graph(300,300,-5,5,-5,5,(5/6)x))}}} ---> {{{y=(5/6)x}}}
.
Thank you,
Jojo