How do you find the slope perpendicular to #y=2x-3#?

Answer 1

#-1/2#

the product of the slope of the normal and the slope of the line

must be = -1 is they are perpendicular to one another

the line #y# = 2#x# - 3 is in the form #y# = m#x# + b

where m is the slope so the slope for this line is 2

then Slope of Normal #*# 2 = -1
slope of normal = #-1/2#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#-1/2#

Perpendicular slopes are opposite reciprocals of one another. In the equation, the slope is #2# (it's in the form #y=mx+b#, where #m# is the slope).

Opposites (negative version of a positive number and vice versa):

#-3, 3#
#2/4, -2/4#
#13/9, -13/9#

Reciprocals (switch the numerator and denominator):

#1/2, 2#
#13/7, 7/13#
#-23, -1/23#
The opposite number of #2# is #-2# and the reciprocal of #-2# is #1/2#.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To find the slope perpendicular to a given line, first identify the slope of the given line. In this case, the given line ( y = 2x - 3 ) has a slope of 2.

To find the slope perpendicular to this line, use the fact that perpendicular lines have slopes that are negative reciprocals of each other. So, the slope perpendicular to a line with slope 2 would be ( -\frac{1}{2} ). Therefore, the slope perpendicular to ( y = 2x - 3 ) is ( -\frac{1}{2} ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7