Question 344195
Find the slope.
{{{m=(y[2]-y[1])/(x[2]-x[1])=(10-4)/(3-1)=6/2=3}}}
.
.
.
{{{y=3x+b}}}
Use either point to find {{{b}}}
{{{4=3(1)+b}}}
{{{b=1}}}
{{{highlight(y=3x+1)}}}
.
.
.
A parallel line has an identical slope.
.
.
.
{{{y=3x+b}}}
Use the origin (0,0) to solve for {{{b}}}.
{{{0=3(0)+b}}}
{{{b=0}}}
{{{highlight(y=3x)}}}
.
.
.
{{{drawing(300,300,-6,8,-2,14,grid(1),circle(0,0,0.3),circle(1,4,0.3),circle(3,10,0.3),graph(300,300,-6,8,-2,14,3x+1,3x))}}}