Question 903074
X intercept is (12,0).
Y intercept is (0,7).
{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
{{{m=(7-0)/(0-12)}}}
{{{m=-7/12}}}
Then using the slope intercept form,
{{{y=-(7/12)x+7}}}
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Parallel means it has the same form but a difference right hand side.
{{{30x+2y=D}}}
Use the point to solve for {{{D}}}.
{{{30(-17)+2(-11)=D}}}
{{{D=-510-22}}}
{{{D=-532}}}
{{{30x+2y=-532}}}
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Perpendicular lines have slopes that are negative reciprocals.
{{{30x+2y=-532}}}
{{{2y=-30x-532}}}
{{{y=-15x-266}}}
The slope of the first line is {{{m=-15}}}
{{{-15*m[p]=-1}}}
{{{m[p]=1/15}}}