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
frosja888 [35]
2 years ago
11

What is the equation of a line perpendicular to:

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

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

You might be interested in
the Galveston-Port Bolivar Ferry takes cars across Galveston Bay. One day, the ferry transported a total of 685 cars over a 5 ho
anastassius [24]

Answer:

137 cars per hour

Step-by-step explanation:

Since there were 685 cars all together you have to do 685 divided by 5 so that you can get your answer of 137 cars per hour

3 0
3 years ago
5u-2u=..................................................
MAVERICK [17]
It will be 3u good luck
8 0
2 years ago
Find the range of f in given ordered pair f(X)=8x-9,D={4,5,6}. plz. help fasttt plspls<br>​
Phantasy [73]

Answer:

f(2) = -2 + 12 = 10 so the ordered pair is (-2, 10).

6 0
2 years ago
If you are really good at math and is willing to help me plz amos emilykaminski13 thanks
kupik [55]

Answer:

Hello. Sorry but i dont see your question.

7 0
3 years ago
What five letter word that is to find an approximate value for a number? it starts with an r__n_?? i really don't understand
Zinaida [17]
Rational numbers !:)

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the total amount that first consumer bank revive after lending Jane $7,000 for three years at an interest rate of 5 perc
    14·1 answer
  • It takes 12 cups of chicken broth to make soup.how much is this in quarts?
    7·1 answer
  • What does the "b" in y=mx+b form stand for?
    12·2 answers
  • Find the 55th term in the following<br> arithmetic sequence :<br> -102, -98, -94, -90, ...
    13·1 answer
  • Consider the diagram. Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plan
    5·2 answers
  • Find the missing sides.
    11·1 answer
  • Thanks to whoever helped me out last time but I have another question.
    11·2 answers
  • Pleas help if possible :)
    14·2 answers
  • Help filler filler filler
    12·1 answer
  • Stacy is a salesperson. She sold a microscope for $55 and earned 20% commission. How
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!