Question 953547
Same x-intercept as 2x-5y=6:

{{{2x-5*0=6}}}
{{{2x=6}}}
{{{x=3}}}, meaning the point (3,0).


Same slope as 3x+y=6:
{{{y=6-3x}}}
{{{y=-3x+6}}}, slope-intercept form.
{{{slope=-3}}}


You have your choice of three different equation forms for a line for finding the equation described in your exercise.   My choice for this,  {{{y=mx+b}}};
{{{b=y-mx}}}
Use the known point.
{{{b=0-(-3)*3}}}
{{{b=9}}}


The equation for the line is {{{highlight(y=-3x+9)}}}.


You should generalize the process to answer the first part of your question, but you choose what forms of equation that you want.