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
lukranit [14]
3 years ago
13

write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7

Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Answer:

  • y - 8 = -1/4(x - 4)

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes.

The line contains point P(4, 8)

<u>Point slope form:</u>

  • y - y₁ = m(x - x₁)

<u>Given line:</u>

  • y = 4x - 7

The slope of the perpendicular line is m = -1/4.

<u>The line in point-slope form is:</u>

  • y - 8 = -1/4(x - 4)
gregori [183]3 years ago
8 0

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.

Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)

y - y₁ = -1/4(x - x₁)

To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.

y - 8 = -1/4(x - 4)

This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)

Hope this helps!

You might be interested in
Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at
ElenaW [278]
Tony is 24 miles from the house.
Jake is 10 miles from the house.
They are 26 miles apart.
6 0
3 years ago
Jim is saving money to buy a game. So far he saved $36, which is three-fourths of the total cost of the game. How much does the
Andru [333]

Answer:

$48

Step-by-step explanation:

Because he has 3/4 you would divide 36 by 3 whick is 12 then multiply by 4 to get the total of $48

4 0
3 years ago
Read 2 more answers
A recipe uses 2 cups of apple concentrate and 3.5 cups of water to make apple juice. If Marcus has 6 cups of apple concentrate,
ZanzabumX [31]

Answer:

21 cups.

Step-by-step explanation:

6x3.5c=21c

C=cups

4 0
3 years ago
Read 2 more answers
What is the value of i ^20+1?
matrenka [14]
Hey Mattchance666, 

    Lets solve this equation together,  

The question we are enquiring is : What is the value of i ^20+1?  

To solve this equation: we have to use the Power Reduction Rule. 

Where I^n=I{n mod 4}<span>

    </span>In this case: <span>I^20 = I^{5*4+0}=I^0</span>

1 + 1 = 2 

Hope this helps, 

    AnthrαX 
3 0
3 years ago
Read 2 more answers
Which point gives the vertex of f(x) = x2 - 4x + 21?
Goryan [66]

Answer:

Brainleist!

Step-by-step explanation:

vertex (h,k)

h= -b/4a

k= c -b^2/4a

solve and you get (2,17)

4 0
2 years ago
Other questions:
  • A rectangle has a length of 5 yards and a width of 3 yards what is the perimeter
    6·2 answers
  • 64,000 in<br> a fraction
    7·2 answers
  • A col front hit Hartford, Connecticut. The temperature dropped by 6 degrees every hour from 4:00 to 9:00 AM. If at 4:00 AM it wa
    7·1 answer
  • 62 POINTS!!!
    7·2 answers
  • PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
    6·2 answers
  • In physics, Boyle’s law states that if the temperature is constant, then the pressure, P, of a gas is inversely proportional to
    14·1 answer
  • Identify the converse:<br> If an angle measures 90°, then it is a right angle.
    10·2 answers
  • Help it’s for my final most of my grade
    9·1 answer
  • Select all ratios equivalent to 10:5.<br> 110:55<br> 24:2<br> 14:6
    11·2 answers
  • what i say when someone's ends a sentence with the word period " did you ever finish 1st grade question mark?"
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!