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
Sunny_sXe [5.5K]
3 years ago
12

Equation of the line through point (5,4) and perpendicular to y=−4/3x−2.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

y=3/4x+1/4

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

So, to find the slope of the new line, we can use this equation:

-4/3m=-1

multiply both sides by 3/-4

m=3/4

So the slope of the new line is 3/4

Here's the equation so far:

y=3/4x+b (b is a placeholder)

we can substitute the point (5,4) into the equation, since the line is going to pass through it.

4=3/4(5)+b

4=15/4+b

1/4=b

So the line is y=3/4x+1/4

Hope this helps!

You might be interested in
Pls help. <br><br><br><br>Pls quick......​
Genrish500 [490]

Answer:

1) 3

2) 1

3) -5

Step-by-step explanation:

The coefficients are the numbers that come before each variable.

The 3 in the first term is in front of the x^2; so the coefficient is 3.

There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.

The term in front of x for the third term is -5, so the coefficient is -5.

5 0
2 years ago
Read 2 more answers
What percentage is the fraction equal to?
Alex

ur fatherless

lllmaaao

5 0
2 years ago
A 1,260-foot tree has grown at a constant rate each year. In the equation below, t is the age of the tree 28t = 1,260 in years.
prohojiy [21]

Answer:

45 years

Step-by-step explanation:

28t = 1,260

Divide both sides by 28

t = 45

4 0
3 years ago
A New York taxi service charges a $3.25 boarding rate in addition to its meter which is $2 for every mile. How much does it cost
IgorC [24]

Answer:

Hey there!

This can be modelled by an equation, y=2x+3.25

For one mile: y=2(1)+3.25, or y=5.25

For twenty miles: y=2(20)+3.25, or y=43.25

Hope this helps :)

3 0
3 years ago
I NEED HELP PLZZZ AN EXPERT ASAP
IgorLugansk [536]
For
y=a(x-h)^2+k
vertex is (h,k)

given
y=1(x-2)^2-5
the vertex is (2,-5)
tha'ts quadrant 4
andswer is 2nd one
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation for the line?<br><br> Enter your answer in the box.
    14·1 answer
  • How old is gabriella if she was 11 years old 19 years ago
    6·2 answers
  • What is the slope of the line that passes through (4,  3) and (2,  2) ?
    11·1 answer
  • Find f^-1 (x) using the function given
    7·1 answer
  • Helpppppp i don’t understand
    8·2 answers
  • Which pyramid has the greatest surface area?<br> Pyramid
    14·2 answers
  • Find the inverse of f(x) = 2x³ – 4.
    11·2 answers
  • The nth term of a sequence is 3n²-1 <br> what are the second and fifth terms?
    5·2 answers
  • 2/7 of 49<br>fractions ​
    11·1 answer
  • Find the measure of the missing angles in the kite​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!