SOLUTION: If you are finding the line perpendicular to x + 3y = 5, what is the slope of the line?

Algebra.Com
Question 391168: If you are finding the line perpendicular to x + 3y = 5, what is the slope of the line?


Found 2 solutions by solver91311, haileytucki:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Solve your given equation for y in terms of everything else. The resulting coefficient on x will be the slope of the given line. The slope of the perpendicular will be the negative reciprocal of the slope of the given line.



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
x+3y=5
Since x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting x from both sides.
3y=-x+5
Divide each term in the equation by 3.
(3y)/(3)=-(x)/(3)+(5)/(3)
Simplify the left-hand side of the equation by canceling the common factors.
y=-(x)/(3)+(5)/(3)
To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept.
y=mx+b
Using the y=mx+b formula, m=-(1)/(3) and b=(5)/(3).
m=-(1)/(3), b=(5)/(3)
RELATED QUESTIONS

If you are finding the line perpendicular to x + 3y = 5, what is the slope of the... (answered by ewatrrr)
If you are finding the line perpendicular to x + 3y = 5, what is the slope of the... (answered by stanbon)
What is the slope of a line perpendicular to the line 4x - 3y =... (answered by mananth)
What is the slope of a line perpendicular to 6x = 3y +... (answered by oberobic,mananth)
Find the slope of the line perpendicular to... (answered by stanbon)
Consider the line -x-3y=-1 what is the slope of a line parallel to this line? And slope... (answered by Fombitz)
What is the slope of a line perpendicular to the line... (answered by lynnlo)
What is the slope of a line parallel and perpendicular to this line?... (answered by rothauserc,Theo)
Line 1: -3x-3y=6 The slope of the line is Line 2: 4x+4y=8 The slope of second... (answered by Boreal)