Question 1206931
.
Find the equation passing through (1, -3) and perpendicular to 4y + 2x = 1
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<pre>
Perpendicular to  4y + 2x = 1  is  2y - 4x = c,  where "c" is some constant value.

(We swap x and y in the original equation and change the sign one time).


To provide  " through (1,-3) ",  we should select/find  "c"  in appropriate way.


For it, we substitute the coordinates x=1, y= -3  into equation 2y - 4x = c.
You get then

    2*(-3) - 4*1 = c,

or

    -6 - 4 = c.

Thus c = -10.


So, the final equation is

      2y - 4x = -10.     <U>ANSWER</U>
</pre>

Solved.


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For this subject, read and learn from the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-perpendicular-to-a-given-line-and-passing-through-a-given-point.lesson>Equation for a straight line perpendicular to a given line and passing through a given point</A> 

in this site and find there the complete explanation on how to do it.


At this site, &nbsp;there is a group of lessons related to this class of problems

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Find-the-slope-of--a-straight-line-passing-through-two-given-points.lesson>Find the slope of a straight line in a coordinate plane passing through two given points</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-having-a-given-slope-and-passing-through-a-given-point.lesson>Equation for a straight line having a given slope and passing through a given point</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Solving-problems-related-to-the-slope-of-a-straight-line.lesson>Solving problems related to the slope of a straight line</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-passing-through-two-given-points.lesson>Equation for a straight line in a coordinate plane passing through two given points</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-parallel-to-a-given-line-and-passing-through-a-given-point.lesson>Equation for a straight line parallel to a given line and passing through a given point</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-perpendicular-to-a-given-line-and-passing-through-a-given-point.lesson>Equation for a straight line perpendicular to a given line and passing through a given point</A> (*)

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Advanced-problems-on-finding-equations-for-straight-lines-.lesson>Advanced problems on finding equations for straight lines</A> 


The most relevant to your current problem is the lesson marked &nbsp;(*) &nbsp;in the list.

So start from this lesson.


But if you want to learn the subject in all its aspects, &nbsp;you need to learn all these lessons.


Consider them as your textbook, &nbsp;handbook, &nbsp;tutorials and &nbsp;(free of charge) &nbsp;home teacher.