Question 914905
The equation of the line is incorrect, specifically the slope.
{{{m=(-7-(-1))/(10-(-5))=(-6)/15=-2/5}}}
So then the point-slope form becomes,
{{{y+7=-(2/5)(x-10)}}}
{{{5y+35=-2(x-10)}}}
{{{5y+35=-2x+20}}}
{{{2x+5y=-15}}}