Question 1133786
{{{x=5}}} and 

{{{2x- 3 =25}}}

to see if these two equations are perpendicular, parallel, or neither , first find slope

by definition, parallel lines have same slopes 
by definition, perpendicular lines have  slopes negative reciprocal to each other  


rewrite both equations in slope intercept form {{{y=mx+b}}} where {{{m}}} is slope and {{{b}}} is y-intercept

in your case:

{{{x=5}}} =>Since we did not have a change in the {{{x}}} values, the denominator of our slope became {{{0}}}. This means that we have an {{{undefined}}}slope. 



{{{2x- 3 =25}}}=>{{{2x=25+3}}}=>{{{2x=28}}}=>{{{x=14}}}=>slope is {{{undefined}}}

so, in your case both lines have same slope =>lines are {{{parallel}}}


{{{ drawing( 600, 600, -10, 15, -15, 15,
green(line(5,-10,5,10)),blue(line(14,-10,14,10)),
 graph( 600, 600, -10, 15, -15, 15, 0)) }}}