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
taurus [48]
3 years ago
13

What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​

Mathematics
1 answer:
Andrews [41]3 years ago
7 0
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

You might be interested in
What are the terms in the expression 350n-30n+350-(50+10n)
trapecia [35]
Terms- 350n, 30n, 350, and (50+10n) (four terms)
coefficients- 350,30,and 10
5 0
3 years ago
Write the equation of the line that passes through each pair of points in slope-intercept form. This is worth 3 points. You have
LekaFEV [45]
(0,5)(3,-1)
slope = (-1 - 5) / (3 - 0) = -6/3 = -2

y = mx + b
slope(m) = -2
(use either of ur points...(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -2(0) + b
5 = b

so ur line is : y = -2x + 5
6 0
3 years ago
Read 2 more answers
How can i solve for y in this problem? 2x-y=3
pshichka [43]

Hello from MrBillDoesMath!

Answer:

y = 2x - 3

Discussion:

2x - y = 3  =>                  add "y" to both sides

2x - y + y = 3 + y =>        as -y+y = 0

2x = 3 + y    =>                subtract 3 from each side of the equation      

2x-3 = y


Thank you,

MrB

4 0
3 years ago
There are 4 fewer cats than dogs.<br>There are 2 cats. How many dogs<br>are there?​
allsm [11]

Answer:

there are 6 dogs

Step-by-step explanation:

x = dogs

x= 2 + 4

x = 6

8 0
3 years ago
Read 2 more answers
Two friends share 76 blueberries. To count the blueberries they put them
Usimov [2.4K]
In there mouth and they ate them
6 0
3 years ago
Other questions:
  • Y = x^2 - 8x + 15 line of symmetry
    12·1 answer
  • Triangle ABC is to be translated right 3 units, down 5 units. What are the vertices of the translated triangle? A. A'(0, 9), B'(
    6·1 answer
  • A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m
    6·1 answer
  • The mobile company charges $180 and hour of service. How many dollars are customers charged every minute?
    6·2 answers
  • 3: Bob has four boards of equal length and wants to be sure that his garden is square. How can he ensure the garden is square by
    15·1 answer
  • Plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi
    15·1 answer
  • Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the
    12·2 answers
  • Please do all of the parts,, im begging
    9·2 answers
  • A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?
    15·1 answer
  • Evelyn bought 8. 4 gallons of gas for $23. 94. Which equation can be used to determine the price of each gallon of gas? 8. 4x =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!