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
nadya68 [22]
3 years ago
15

Find an equation of the line. Write the equation using function notation.

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

Let m1 be the slope of given line

Then

m_1 = \frac{1}{4}\\

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4

The slope intercept form of line is given by:

y = m_2x+b

Putting the value of slope

y = -4x+b

to find the value of b, putting (3,-3) in equation

-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9

Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

You might be interested in
The line graph with gradient 2 and y-intercept(0,5)​
Varvara68 [4.7K]

Answer:

The line graph is:

y=2x+5

4 0
2 years ago
A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price
timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If  we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

\frac{75}{100} =\frac{34.50}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

75y=100(34.50)\\75y=3450

I now solve for y by dividing by 75.

\frac{75y}{75} =\frac{3450}{75} \\y= 46....

The original price was $46.


5 0
3 years ago
AMERICA IS A GREAT PLACE TO LIVE
Nina [5.8K]
OMG YES PERUOD DUHDNSJJFJGJ
5 0
3 years ago
I WILL GIVE BRAINLEST TO FIRST ANSWER!! DUE 20 MINUTES!!
levacccp [35]

Answer:

D

Step-by-step explanation:

1 - 1/4 + 2/5 = 23/20

20/20 - 5/20 = 15/20

15/20 + 8/20 = 23/20

hope this helps! :)

3 0
2 years ago
IF YOU CAN ANSWER THIS YOUR LIKE THE SMARTEST PERSON EVER!!
Ivenika [448]
$38 dollars for beads
6 0
3 years ago
Read 2 more answers
Other questions:
  • Santa has 75 toys left in his sleigh. If the house has 5 kids, how many toys can he<br> leave?
    15·2 answers
  • What is the surface area of this triangle prism rounded to the nearest tenth?
    6·1 answer
  • Plzzzzzzzzzzzz help me ASAP!!!!!!
    13·1 answer
  • What is the leading coefficient of the function f(x)=3x^5+6x^4-x-3
    13·1 answer
  • Jonah’s Restaurant reports net income of $20,000 during the year 2015. It distributes a dividend of $6,000 to its shareholders.
    13·1 answer
  • What is the area of the polygon given below?
    7·2 answers
  • the length of a rectangle is 3 cm longer than it’d width. if the perimeter of the rectangle is 38, find it’s area.
    9·1 answer
  • When computing the control limits for the p-chart, what value is used when the population proportion of defective items is not k
    5·1 answer
  • 20% оf x is 130. What is x?<br> x Clear
    9·1 answer
  • Please help me with this! if you do you will get brainliest
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!