Question

If you are finding the line perpendicular to x + 3y = 5, what is the slope of the perpendicular line?
A. -3/5
B. 1/3
C. 3
D. -3

Answer 1

@Jhannybean

Answer 2

perpendicular lines have opposites slopes

Answer 3

Move everything away from the y, isolate it.
Once that is done, take the opposite reciprical.

Answer 4

So if you solve for y in the equation given, you get: \[3y = 5-x\]\[y=\frac{ 5-x }{ 3 }\]\[y= \frac{ 5 }{ 3 }-\frac{ x }{ 3 }\] rewrite. \[y=-\frac{ 1 }{ 3 }x+\frac{ 5 }{ 3 }\] Now you know the slope of the line given. if you take the reciprocal, you will have \[-3\]

Answer 5

Thank you :)