Question 173933
The point-slope equation is
{{{m = (y - y[1]) / (x - x[1])}}}
{{{-(3/5) = (y - 1) / (x - 10)}}}
multiply both sides by {{{x - 10}}}
{{{-(3/5)*(x - 10) = y - 1}}}
{{{y = -(3/5)*x + 6 + 1}}}
{{{5y = -3x + 35}}}
{{{-3x - 5y + 35 = 0}}}
Multiply both sides by {{{-1}}}
{{{3x + 5y - 35 = 0}}} answer
check:
does it go through (10,1)?
{{{3*10 + 5*1 - 35 = 0}}}
{{{30 + 5 - 35 = 0}}}
{{{ 0 = 0}}}
OK