Question 730051

a.

the equation of the line  passes through the points ({{{2}}},{{{9}}}) and ({{{9}}},{{{2}}})

 
*[invoke find_equation_of_line 2, 9, 9, 2]


b.


the equation of the parallel to line {{{y=-1x+11}}} going through the origin ({{{0}}},{{{0}}})


*[invoke equation_parallel_or_perpendicular "parallel", -1, 11, 0, 0]


c.

the equation of the perpendicular to line {{{y=-1x+11}}} through ({{{2}}},{{{9}}})

*[invoke equation_parallel_or_perpendicular "perpendicular", -1, 11, 2, 9]


{{{y=-1x+11}}}...given line
{{{y=-1x}}}...parallel line
 {{{y=x+7}}}...perpendicular


let's graph them all together:

{{{ graph( 600, 600, -15, 15, -15, 15, -1x+11,-1x,x+7) }}}