SOLUTION: Hi. For homework I have to see if these two equations are perpendicular, parallel, or neither: x=5 and 2x- 3 =25. I don't understand because in the first one the y-intercept is

Algebra ->  Linear-equations -> SOLUTION: Hi. For homework I have to see if these two equations are perpendicular, parallel, or neither: x=5 and 2x- 3 =25. I don't understand because in the first one the y-intercept is      Log On


   

Question 1133786: Hi. For homework I have to see if these two equations are perpendicular, parallel, or neither:
x=5 and 2x- 3 =25.
I don't understand because in the first one the y-intercept is given, but in the second there is no y.
Found 3 solutions by Alan3354, josmiceli, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
For homework I have to see if these two equations are perpendicular, parallel, or neither:
x=5 and 2x- 3 =25.
I don't understand because in the first one the y-intercept is given, but in the second there is no y.
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The 2nd one has no y ---> it's the same x for all values of y.
---> parallel to the y-axis (often called vertical).
================
The 1st one has no y either, so they are parallel, both "vertical."

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +x+=+5+
(2) +2x+-+3+=+25+
------------------------
The 1st equation is a vertical line since no
matter what y is, x is always 5
(2) +2x+=+25+%2B+3+
(2) +2x+=+28+
(2) +x+=+14+
This is also a vertical line for the same reason,
so these lines are parallel
--------------------------------
You said the 1st equation only has a y-intercept.
In that case the equation would be +y+=+5+
and then the lines would be perpendicular

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
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%2Bb 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 undefinedslope.


2x-+3+=25=>2x=25%2B3=>2x=28=>x=14=>slope is undefined
so, in your case both lines have same slope =>lines are parallel