1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
2 years ago
7

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Mathematics
1 answer:
Arturiano [62]2 years ago
7 0

Answer:

y =  \frac{2}{3} x + 2

Step-by-step explanation:

Start by finding the slope of the given line.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

Slope of given line

=  \frac{5 - ( - 1)}{ - 2 - 2}

=  \frac{5 + 1}{ - 4}

=  \frac{6}{ - 4}

=  -  \frac{3}{2}

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

-  \frac{3}{2} m =  - 1

m =  - 1 \div ( -  \frac{3}{2} )

m =  - 1 \times ( -  \frac{2}{3} )

m =  \frac{2}{3}

y =  \frac{2}{3}x  + c, where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1  + y_2}{2} )}

Midpoint of given line

=  ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )

=( \frac{0}{2} , \frac{4}{2} )

= (0, 2)

y =  \frac{2}{3} x + c

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is y =  \frac{2}{3} x + 2.

You might be interested in
I need help with this
Ksenya-84 [330]

Answer:

6.7-(-2.5)=9.2                  6.7+(-2.5)=4.2                          Neither

2.5 + 6.7                          6.7 - 2.5                                  2.5 - 6.7

                                       -2.5 + 6.7                                 -2.5 - 6.7

                                                                                        -6.7 + 2.5

7 0
3 years ago
14. The prime factorization of a number is
NikAS [45]

Answer:

See below.

Step-by-step explanation:

The number = 5 * 7 * 23.

5  * 7 = 35 must therefore also be a factor.

If we divide the number by 35 we get 23!.

4 0
3 years ago
8m 56mm change into mm​
Eduardwww [97]

Answer:

8056 mm

Step-by-step explanation:

1 m=1000 mm

(8×1000)mm+56 mm

=8000 mm+56 mm

=8056 mm

3 0
3 years ago
Please answer correctly !!!! Will mark brainliest !!!!!!
Musya8 [376]

Answer:

h(r) = 6(r+1)+10

Step-by-step explanation:

Just solve for q. Because that's the output. h(r) = q

3 0
2 years ago
Read 2 more answers
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
MrRa [10]

Answer:

0.97 per ball

Step-by-step explanation:

Take the total cost and divide by the number of items

8.74 /9

0.97111

Rounding to the nearest cent

0.97

5 0
3 years ago
Other questions:
  • Exit A five-sided solid has the numbers 1, 2, 3, 4, and 5. What is the probability of rolling two five-sided number solids and g
    6·1 answer
  • A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of ex
    11·1 answer
  • Suppose p varies directly as d, and p = 2 when d = 7. What is the value of d when p = 10?
    5·2 answers
  • Solve the following equation -5-7y=-20y+34
    14·1 answer
  • Simplify the expression. 5 ^ 0 <br> A. 0<br> b. 0.5<br> c. 1<br> d. 50
    8·1 answer
  • A+10=55 how do I solve this
    14·1 answer
  • Given: &lt;2 and &lt;3 form a linear pair, &lt;1 and &lt;3 are vertical angles, and m&lt;1,m&lt;4, and m&lt;5 form a straight an
    12·1 answer
  • 20. 64% of the people at the movie theater bought popcorn in one weekend. For the next weekend, if the movie theater expects 125
    15·1 answer
  • HELP MEHHHHHHHHH. thanks.
    11·2 answers
  • form a 6 digit number divisible by 1 first 2 divisible by 2, first 3 digits divisible by 3, first 4 digits divisible by 4, first
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!