Question 843523
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Hi,
Note:  x-5y =1  is {{{y = highlight(1/5) x -1/5 }}}
the standard slope-intercept form for an equation of a line is {{{y = green(m)x + b}}}
  where m is the slope and b the y-intercept.

write an equation of the line containing P(-1,-6) and parallel to {{{y = highlight(1/5) x -1/5 }}}
New Line:  Slopes are the same
{{{y = highlight(1/5) x +b }}}   |using P(-1,-6) to solve for b
{{{y = highlight(1/5)(-1) +b }}} 
  -6 = -1/5 + b
 -30/5 + 1/5 = b
{{{y = highlight(1/5) x - 29/5 }}} 
In standard form:
 x - 5y = 29