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
sleet_krkn [62]
2 years ago
15

State the equation of the line that is perpendicular to 4x-3y=10 through the point (-2,4)

Mathematics
1 answer:
Lynna [10]2 years ago
6 0

The equation of the line  that is perpendicular to 4x - 3y = 10  through the point (-2,4) is y-4=\frac{-3}{4}(x+2)

<u>Solution:</u>

Given, line equation is 4x – 3y = 10  

We have to find a line that is perpendicular to 4x – 3y = 10 and passing through (-2, 4)

Now, let us find the slope of the given line,  

\text { Slope of a line }=\frac{-\mathrm{x} \text { coefficient }}{\mathrm{y} \text { coefficient }}=\frac{-4}{-3}=\frac{4}{3}

We know that, slope of a line \times slope of perpendicular line = -1

\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}

Now, slope of our required line = \frac{-3}{4} and it passes through (-2, 4)

<em><u>The point slope form is given as:</u></em>

\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}

y-4=\frac{-3}{4}(x+2)

Hence the equation of line is found out

You might be interested in
Johnson middle school had 240 students last year. This year. There are 192 students. Find the percent of change. State whether t
Rina8888 [55]

Answer:

Step-by-step explanation:

192 ÷ 420 = 0.457

0.457 x 100 = 45.7

But there can't be a percentage increase or decrease because there is no percentage to compare it to, there should be information for the change in students of the last year

7 0
3 years ago
Lesson 10 adding and subtracting in scientific notation
Gnoma [55]
What about lesson 9?
3 0
3 years ago
PLEASE HELP!!
professor190 [17]

Answer:

The answer is 33.2*F (72.3*F - 39.1*F because the temp. is *dropping* 39.1*F)

Step-by-step explanation:

If there is a negative change in temp. then that is just like subtracting the change from the base degree (F)

7 0
2 years ago
Read 2 more answers
How many repeating digits are in 0.536
creativ13 [48]
There are 3 repeating digits in 0.536 because there are 3 numbers behind the decimal
4 0
3 years ago
Read 2 more answers
NEED HELP ASAP
MrRa [10]
(x-2)squared +y squared=20
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution set of the following equation -5x+x+9=-4x+12
    13·1 answer
  • Five times the difference of a number subtracted from ten is forty. what is the number?
    6·1 answer
  • Whats 109 divided by 27 and then simplify it
    6·1 answer
  • When Akbar’s son was four years old, Akbar put $250 into an account that guaranteed a 10% annual return. The equation f(x=250(1.
    11·2 answers
  • Plz help this is an evil question
    14·2 answers
  • The triangle below has a total perimeter of 450 cm:
    5·1 answer
  • How many arrangements of 3 digits can be formed from the digits 0 through 9?
    7·2 answers
  • Jennifer is a lifeguard at the same pool. She earns $220.50 for 18 hours of lifeguarding. How much does Jennifer earn per hour?A
    13·1 answer
  • This line has a slope<br> of -3 and passes<br> through the point<br> (4, -10)
    11·2 answers
  • 2 tickets cost $14. How many tickets can you buy with $63?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!