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
musickatia [10]
2 years ago
11

7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.

Mathematics
2 answers:
atroni [7]2 years ago
7 0

Answer:

  3x +5y = 13

Step-by-step explanation:

The equation of a perpendicular line through a given point can be obtained by swapping the x- and y-coefficients of the original line's equation, and negating one of them. The constant in the equation needs to be chosen so the equation will be true at the given point.

<h3>Form of perpendicular line</h3>

Swapping the coefficients of the given equation, we have ...

  3x -5y = c . . . . . for some constant c

Negating the y-coefficient gives a perpendicular line:

  3x +5y = c

<h3>Particular solution</h3>

We want the equation to be true for (x, y) = (-4, 5), so the constant needs to be ...

  3x +5y = 3(-4) +5(5) = -12 +25 = 13

The equation of the perpendicular line is ...

  3x +5y = 13

__

<em>Additional comment</em>

This process works for equations given in any form. If you start with point-slope form or slope-intercept form, some manipulation of the result may be required to get to the form you want. Standard-form or general-form equations are the easiest to apply this method to.

Note that equations in <em>standard form</em> want to have a positive leading coefficient. That is why we chose to change the sign of the y-coefficient, rather than the x-coefficient.

bagirrra123 [75]2 years ago
6 0

The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4

Hence,

perpendicular lines follows the rule below:

m₁m₂ = -1

Hence,

5x - 3y = 4

5x - 4 = 3y

y = 5/ 3 x - 4 / 3

m₁ = 5 / 3

5/3 m₂ = -1

m₂ = - 3 / 5

Hence,

using (-4, 5)

5 = - 3 / 5 (-4) + b

5 = 12 / 5 + b

b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5

Therefore,

y = -3 / 5 x + 13 / 5

learn more on equation of a line here: brainly.com/question/10727767

#SPJ1

You might be interested in
5/18 x 3/4 simplify ​
Lesechka [4]

Answer:

5/24

Step-by-step explanation:

Find a common denominator and multiply, then convert to its simplest form.

3 0
2 years ago
You have $16 and a coupon for a $5 discount at a local
Brrunno [24]
8 bags of chips total
7 0
3 years ago
Solve for x and y:<br> x+y=5 x−y=a <br> PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!
KengaRu [80]

Answer:

x=\frac{a+5}{2}  y=5-\frac{a+5}{2}  

Step-by-step explanation:

x+y=5

y=5-x

x-y=a

x-(5-x)=a

2x-5=a

2x=a+5

x=\frac{a+5}{2}  

x+y=5

\frac{a+5}{2}  +y=5

y=5-\frac{a+5}{2}  

7 0
3 years ago
Read 2 more answers
Help me with this question I don't get it
mylen [45]
No she will have more than enough paint have a wonderful evening
6 0
3 years ago
3 3/4 times -2/5<br><br> A. - 1/2 <br> B. -2 <br> C.2 <br> D. 1/2
alexira [117]
The answer is -1/5. i typed it into google lol
6 0
3 years ago
Other questions:
  • Plsss help me i need the grade ur a life saver and I love u sooo much
    15·2 answers
  • Still gonna cry leave step by step pls
    5·2 answers
  • Graph the system of equations {3x+y=6 -3x-4y=12
    12·1 answer
  • There are 10 cats, 15 dogs, and 12 birds in a shelter. one animal is randomly selected. what is p(dog and cat)?
    7·1 answer
  • HELPPP please thank you so much
    14·1 answer
  • Determine the measure of the interior angle at vertex F
    14·1 answer
  • Exponential growth and decay functions are written in standard form as
    14·1 answer
  • Evaluate.<br><br> 33+1⋅9+12 <br><br> please help!
    9·2 answers
  • What is the product?
    14·1 answer
  • a train started from Howrah to Allahabad and another train started from Allahabad for Howrah at the same time. The two trains re
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!