braydengodfrey
braydengodfrey braydengodfrey
  • 04-12-2021
  • Mathematics
contestada

Write an equation of the line in point-slope form that is perpendicular to the given line
and passes through the given point.
y = −3x + 4; (−1, 3)

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 04-12-2021

Answer:

[tex]y-3=\frac{1}{3}(x+1)[/tex]

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of the original slope. Here, it's -3 and 1/3. Another example would be 2 and -1/2.

Next, point slope form is:

[tex](y-y_1)=m(x-x_1)[/tex]

where m is the slope and (x1, y1) is any point on the line.

We're given that point, and we've found the slope above, so the equation is:

[tex]y-3=\frac{1}{3}(x+1)[/tex]

Ver imagen cinderofsoulsss
Answer Link

Otras preguntas

Frank is putting up a wallpaper in his bedroom. His bedroom measures 1 1/8 feet long and 9 3/4 feet wide. What is the perimeter of Franks bedroom?
How can I split five brownies between three people
WHERE DID MOST AMERICANS LIVE IN THE EARLY 1800S
When you whisper, you produce a 10-dB sound. a. When you speak quietly, your voice sounds twice as loud as a whisper. How many decibels is this? b. When you spe
What does this quote mean? "Our desire to conform is greater than our respect for objective facts"? And you either defend, challenge, or neutral for the quote.
Four things that were damaged ween mount etna erupted were
why do volcanoes erupt in the part of the world where Mont  Isle is located??
Use elimination to solve the system:6x-4y=6-6x+3y=0
2loga(3)+loga(5)=loga(x)
The sum of Alan’s age and Bob’s age is 40. The sum of Bob’s age and Carl’s age is 34. The sum of Alan’s age and Carl’s age is 42. How old is Bob?