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
kap26 [50]
3 years ago
11

Find an equation for the line that passes through the point (-4, 10) and (16, -2)

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

You might be interested in
To estimate the average salary among people in a certain district, a marketing team obtains a simple random sample of 100 people
bogdanovich [222]

Answer:

The interpretation is that we are 90% sure that the true average salary of the district is in this interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the average salary of the district is  [41500,49750].

This means that we are 90% sure that the true average salary of the district is in this interval.

3 0
3 years ago
Determine if two triangles are congruent. If they are, state how you know.
nataly862011 [7]

Answer:

B. SSS

Step-by-step explanation:

The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.

6 0
2 years ago
Expression 9(2j + 7 + 5j).<br><br> Use the distributive property to create an equivalent expression
tamaranim1 [39]
Step by Step :
1. 9(2j + 7 + 5j)
2. (9)(2j) + (9)(7) + (9)(5j)
3. 18j + 63 + 45j
Answer: 63j + 63
8 0
3 years ago
Read 2 more answers
Which inequality is true?
Aleonysh [2.5K]
D. Will be the correct answer
5 0
2 years ago
Read 2 more answers
PLS HELP! DUE SOON!!! Middle school question.
Kobotan [32]
She can make 2.2 bracelets an hour
3 0
2 years ago
Other questions:
  • How does a monthly budget worksheet help you?
    11·1 answer
  • Please someone help me please! i'll also mark you! please
    13·1 answer
  • What is 2 to the power of 16 HELP
    13·2 answers
  • The property tax on a $160,000 home is $3,840. At this rate, what is the property tax on a home appraised at $260,000? $
    6·1 answer
  • **WILL GIVE THE BRAINLIEST! &amp; LIKE**
    5·2 answers
  • What is 5x10 I'll give you brainly
    13·2 answers
  • Given U=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A=0, 2, 4, 6, 8, and B=1, 3, 5, 7 find n(A)
    13·1 answer
  • Please help me with this one ^^
    6·1 answer
  • SOLVE ASAP EASY<br> 4 yd 2 ft 7 in+3 yd 5in
    11·2 answers
  • 11 3/4 in absolute value Answer quick!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!