Question 997632
Study this, and analyze what the outline of the method is:


{{{m=(7-3)/(-4-1)=4/-5=-(4/5)}}}


The point-slope form equation of a line,  {{{y-3=-(4/5)(x-1)}}},
{{{y-3=-4x/5+4/5}}}
{{{y=-4x/5+4/5+3}}}
{{{highlight_green(y=-4x/5+3&4/5)}}}


Point (-29,k) is supposed to be on this line but k currently unknown, but can be found.

---redoing this part---


The point   (-29,k)  must satisfy the equation for the line.

{{{k=-(4(-29)/5)+3&4/5}}}

{{{k=(4*29)/5+19/5}}}

{{{k=135/5}}}

{{{highlight(k=27)}}}