Question 306831
Find the slope.
{{{m=(y2-y1)/(x2-x1)}}}
{{{m=(2/3-2/5)/(4/3-(-2/5))}}}
{{{m=(10/15-6/15)/(20/15+6/15)}}}
{{{m=(4/15)/(26/15)=4/26=2/13}}}
Use the point slope form of a line.
{{{y-yp=m(x-xp)}}}
{{{y-2/3=(2/13)(x-4/3)}}}
{{{y=(2/13)x-(2/13)(4/3)+2/3}}}
{{{y=(2/13)x-8/39+26/39}}}
{{{highlight(y=(2/13)x+18/39)}}}
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{{{39y=6x+18)}}}
{{{highlight_green(-6x+39y=18)}}}