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
ELEN [110]
4 years ago
9

Write in slope-intercept form an equation of the line that passes through the given points. When the points are, (-1,4) and (3,8

)...... please help.

Mathematics
2 answers:
andreev551 [17]4 years ago
7 0

Slope is change in y over change in x, which is 1.  

The equation is y=mx+b, but we only know the slope. We need the y-intercept now.

y=x+b (1x can be written as x)


b=5.


The equation is y=x+5.

guajiro [1.7K]4 years ago
5 0
I find it easiest to start with the 2-point form of the equation of a line.
  y = (y₂-y₁)/(x₂-x₁)*(x-x₁) +y₁
where the given points are (x₁, y₁) and (x₂, y₂).

Substituting the given numbers, you have
  y = (8 -4)/(3 -(-1))*(x -(-1)) +4
  y = 4/4(x +1) +4
  y = x +5

The desired slope-intercept form of the equation for the line is ...
  y = x + 5

You might be interested in
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
shepuryov [24]

Question Continuation

Find the following probabilities. (Round your answers to four decimal places.)

(a) 15 or more will live beyond their 90th birthday

(b) more than 40 will live beyond their 90th birthday

Answer:

a. 0.9948

b. 0.0068

Step-by-step explanation:

Given

Number of graduating students, n = 723

Probability, p = 3.8% = 0.038

q = 1 - p = 1 - 0.038 = 0.962

Calculating the mean

Mean, u = np

u = 723 * 0.038

u = 27.474

Calculating the standard deviation

σ = √npq

σ = √(723 * 0.038 * 0.962)

σ = 5.14101040652516088641079

σ = 5.141 --- Approximated

We'll solve the following using z = (x-u)/σ

a.

x = 14.5 (I.e Atleast 15)

u = 27.474

σ = 5.141

Z = (14.5 - 27.474)/5.141

Z = −2.5236335343318420540750

Z = -2.52

From the binomial distribution table

The corresponding value at z = -2.52 is 0.0052

So, the probability that 15 or more will live beyond their 90th birthday = 1 - 0.0052

= 0.9948

b.

For more than 40

x = 40.5

u = 27.474

σ = 5.141

Z = (40.5 - 27.474)/5.141

Z = 2.53374829799649873565454

Z = 2.53

From the binomial distribution table

The corresponding value at z = 2.53 is 0.9932

So, the probability that more than 40 will live beyond their 90th birthday = 1 - 0.9932

= 0.0068

6 0
4 years ago
The least common denominator of two fractions is 24.if you add the two denominators,their sum is 14.What are the denominators?
melamori03 [73]
The two denominator would be 6 and 8 because they both = 14 and the lcm of both are 24
4 0
3 years ago
Michales basketball team practiced for 2 hours and 40 minutes yesterday and 3 hours and 15 minutes today go much longer did the
Lady bird [3.3K]
They practiced 35 minutes longer on the second day.
4 0
4 years ago
Name the geometric terms modeled by a wall <br> and floor
Gwar [14]

The geometric terms modelled will be:

1. Plane

2 Point

3Point

4Plane

5Line

6.Point

7Point

8 Plane

9.Plane

10.Line

<h3>What is a line?</h3>

It should be noted that a line is a one-dimensional figure, that has length but no width. It should be noted that a line is made of a set of points that is extended in opposite directions.

The plane is flat surface.

Learn more about line on:

brainly.com/question/1655368

#SPJ1

Name the geometric term modeled by each object.

1. wall of a classroom

2. a knot in a piece of thread

3. tip of a needle

4 floor of a room

5 edge of a table

6. tip of a pencil

7 far distant star

8 screen of a flat TV

9 sheet of paper

10. light beam

7 0
1 year ago
a 285​-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
Katyanochek1 [597]

Answer:

37.5

Step-by-step explanation:

Let the length of the shorter piece be x and the longer piece be 5x.

Short piece + Long piece = 285 inches

x + 5x = 225

6x = 225

x = 225 ÷ 6

x = 37.5

6 0
3 years ago
Other questions:
  • How do I find the missing angle in a kite?
    14·2 answers
  • 5.94 in what is that in inches
    7·1 answer
  • Say you want to create a ladder .which lines should be parallel and perpendicular to each?
    8·2 answers
  • A 12-sided number cube with the numbers 1 through 12 is rolled.
    6·1 answer
  • PLEASE HELP!
    12·1 answer
  • PLEASE ANSWER AS QUICK AS POSSIBLE 25 POINTS
    13·1 answer
  • I need a answer in simple terms on how to write things in y intercept form and use that to graph lines.
    9·1 answer
  • Evaluate the function requested. Write your answer as a fraction in lowest terms.
    11·1 answer
  • Write the expression of 4X +8 as the product of four and another factor
    6·1 answer
  • I need help with number 4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!