natii79 natii79
  • 02-12-2020
  • Mathematics
contestada

5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7

Respuesta :

Eddie1Wan
Eddie1Wan Eddie1Wan
  • 02-12-2020

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

Answer Link

Otras preguntas

3. Which of the following was an effect of Johannes Gutenberg's printing press on Western Europe? A. The price of books increased B. The number of universities
Help i really need help
PLEASE HELP WILL MARK BRAINLEIST
what is the concrete and abstract noun in i fell in love with that little child​
Evaluate: 12y+9d if y = 5 and d = 7
hello everyone!!! how are you?? ( now say it back to me) ​
What is the measure of ∠ ACD?
J’aime lire les journaux. Je ___________ quand je suis libre. A. vous lis B. le lis C. les lis D. te lis
Question 3 What is the meaning of the word enchanted as it is used in the following sentence: When she first spotted the English settlers, Pocahontas was enchan
Factor completely. there is and a and b so two questions