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
Vladimir [108]
3 years ago
10

Find the value of k so that the line through the given points has the given slope.

Mathematics
1 answer:
Kay [80]3 years ago
7 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}

You might be interested in
Evaluate the function rule to find the range of each function for the domain.
aev [14]
F(x) = x^2 - 6x + 4               {-3, 0, 5}   (x, y) x is the domain, y is the range.

plug in the domain numbers into the equation to find the range.

y = x^2 - 6x + 4
y = -3^2 - 6(-3) + 4
y = 9 - (-18) + 4
y = 9 + 18 + 4
y = 31                        (-3, 31)

y = x^2 - 6x + 4
y = 0^2 - 6(0) + 4
y = 0 - 0 + 4
y = 4                       (0, 4)

y = x^2 - 6x + 4
y = 5^2 - 6(5) + 4
y = 25 - 30 + 4
y = -1                       (5, -1)

c. {-1, 4, 31}

hope this helped, God bless!
5 0
3 years ago
Emaan charges a fixed amount for a bracelet, with an additional charge for each charm a customer adds to the bracelet. Write a l
DIA [1.3K]

Answer:

f(x) = y + (x*p)

Step-by-step explanation:

Since we are not given actual values we will need to make the function with only variables. Each variable will represent the following...

Fixed Cost: y

Cost per charm: p

Number of charms: x

Therefore, using the variables mentioned above we can combine them into the following linear function using the number of charms as our main input for our function...

f(x) = y + (x*p)

6 0
3 years ago
How do I solve 1.25÷30
Shtirlitz [24]
Calculator lolololol nah joking first
5 0
3 years ago
Read 2 more answers
A sphere with a radical of 8.5cm
jek_recluse [69]
Take the common denominator and divide by 3
5 0
3 years ago
Find the circumference of a circle with a radius of 10. Leave in terms of pi
Alexus [3.1K]

The formula of a cirumference of a circle:

C=2\pi r

r - radius

We have r = 10. Substitute:

C=2\pi(10)=20\pi

<h3>Answer: C = 20π</h3>
6 0
3 years ago
Other questions:
  • 20.57 is 42.5% of what number
    13·1 answer
  • I need help, I don’t get this
    7·1 answer
  • The grocery store sells kumquats for $4.75 a pound and Asian pears for $3.00 a pound . Write an equation in standard form for th
    6·1 answer
  • Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about accelerati
    5·1 answer
  • Log7 (4n-7)=log7 (-3n )
    10·1 answer
  • I need helpppp IDKK
    11·2 answers
  • The function for the cost of materials to make a shirt is f (x)= 5/6 x +5 where x is the number of shirts. The function for the
    12·1 answer
  • F(1)=2<br><br>f(n+1) = f(n)+4<br><br><br>What is f(10)?
    8·1 answer
  • 6th grade math help me pleaseeee
    13·1 answer
  • I need help on this math
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!