SOLUTION: How do I write the equation of a line that is perpendicular to y=7x+2 and passing through the origin?
Algebra.Com
Question 476138: How do I write the equation of a line that is perpendicular to y=7x+2 and passing through the origin?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You can't, at least in the sense that you cannot write the equation of any line. That is because there are an infinite number of ways to express an equation of any line. What you can do is write an equation of a line.
First we know that perpendicular lines have slopes that are negative reciprocals, which is to say:
The equation of the given line is presented in slope-intercept form, namely 
. Hence we can determine the slope of the given line simply by inspection of the coefficient on 
. Take this number an calculate the negative reciprocal.
Take the slope number you just calculated and the coordinates of the origin, to wit: )
, and then use the two point form of an equation of a line:
 )
where )
are the coordinates of the given point and 
is the calculated slope. Put the result into whatever form your instructor expects your answers to take.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
what is an equation that passes through the origin, and is perpendicular to the line... (answered by Fombitz)
Find the equation for the line passing through the origin and perpendicular to y = ½ x –... (answered by Fombitz)
write and equation of the line passing through (0,2) that is perpendicular to y=... (answered by rfadrogane)
I am taking a college course and this is a homework problem I cant solve or for that... (answered by Earlsdon)
Write the equation for the line that is (a)parallel and (a) perpendicular to y= 8\7x+6... (answered by mananth)
An equation of the line passing through (3,4) and perpendicular to y=7x+8... (answered by algebrahouse.com)
I have no idea on how to do this problem any help would be greatly appreciated
Find... (answered by richwmiller)
Write the equation of the line passing through (3,-2) but is perpendicular to... (answered by Alan3354)
How do i write the equation of a line that passes through (2,-9) and is perpendicular to... (answered by scott8148)
