What is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS

Answers

Answer 1

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.


Related Questions


Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

Answers

Answer:

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

See attachment for complete question

Given

Malcom's Family:

[tex]d = 65t[/tex]

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

[tex]t = 1; d = 50[/tex]

[tex]t = 2; d = 100[/tex]

First, we determine the slope, m:

[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]

[tex]m = \frac{100 - 50}{2- 1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we determine equation for Theo's family using:

[tex]d - d_1 = m(t - t_1)[/tex]

[tex]d - 50 =50(t - 1)[/tex]

[tex]d - 50 =50t - 50[/tex]

Add 50 to both sides

[tex]d - 50 +50=50t - 50 + 50[/tex]

[tex]d =50t[/tex]

So, we have the following:

[tex]d = 65t[/tex] --- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

[tex]d =50t[/tex] --- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

[tex]Rate = 65t - 50t[/tex]

[tex]Rate = 15t[/tex]

Which implies that Malcom's family travel 15 miles per hour faster than Theo's

Which number has the same absolute value as -2?
0
-1/2
1/2
2

Answers

Answer:

2

Step-by-step explanation:

The absolute value of a positive is that same number

For example the absolute value of 4 is 4

The absolute value of a negative is that same number without the negative sign.

For example, the absolute value of -4 is 4

3)
What is the range of this function?

Answers

Answer:

positive 3

Step-by-step explanation:

You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction.​

Answers

Answer:

2/8 and the simplified version is 1/4

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

First you know that it is a eight- sided die. 2 or 5 are two numbers so it is 2/8.  

you put all of the numbers and count them up on the top as numerators ex: 2/   Then the number of the sided die as the denominator.ex: 2/8 Hope this helped.

What is the congruence statement?

Answers

Triangle JPA is congruent to triangle TVS

Answer:

triangle pjl is congruent to it's by side side side theorem

Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is

Answers

Answer:

23

Step-by-step explanation:

Basically I did it backwards & opposites:

-28 divided by -7 = 4

4 + 19 = 23

I checked btw and it worked.

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy

Answers

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

9. FLUENCY: ONLY USE A CALCULATOR TO CHECK!
1500 + (6 + 4*) 37
Your answer

Answers

Answer:

1870

Step-by-step explanation:

1500 + (6 + 4) * 37

= 1500 + 10 * 37

= 1500 + 370

= 1870

Answer:

1870

Step-by-step explanation:

1500+(6+4)37

=1500+10*37

=1500+370

=1870

What is the domain of the square root function graphed below?

Answers

Answer:

Where its the graph??????

LOOK AT PICTURE,THEN ANWSER QUESTION, WHOEVER ANSWERS CORRECT I WILL MARK BRAINIEST!!

Answers

Answer:
B. 4/11

Solution:
Gradient=(y1-y2)/(x1-x2)
Gradient=(6-2)/(4-(-7)) =4/11

Which pairs of events describe independent events?
Select all that apply.

A Flipping a coin and having it land with the tails side up; drawing a 7 from a standard deck of cards.
B Pulling a red sock from a drawer with 3 red socks and 5 blue socks and not replacing it; then pulling another red sock from the same drawer.
C Rolling a standard six-sided die and having it land on a 1; selecting a blue block from a tub of red and blue blocks.
D Drawing a king from a standard deck of cards and not replacing it; then drawing a queen from the same deck of cards.

Answers

Answer:

A and C

Step-by-step explanation:

Both events in A and C have no connections whatsoever. B and D are dependant of each other due to both having to do with ether both socks or both cards.

PLEASE HELP!!! 60 points will be rewarded to the person that answers this question correctly.

The two figures below have the same perimeter. What is the value of x?

1. Write an equation that can be used to represent the situation above

2. Solve the equation

3. Prove the solution by plugging it into both sides of the equation


Answers

Answer:

3 or 5

Step-by-step explanation:

Because follow the problem



If SJL = DMT, which segment corresponds to LS?

Answers

G is the answer to this question

please help me fast
I give you 100 point

Answers

do u need tbem answered?

Answer:

a. 372

b. 708

c. 451

d. 805

e. 965

f. 620

Step-by-step explanation:

Which graph represents 2x − 5y ≥ − 20

Answers

Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

The function f(x) = 125(0.80)to the power of x models the retail price of a CD player x years since it was first produced. What is the average rate of change in the retail price between years 2 and 4?

Answers

Answer: $28.80 per year

idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?

Answers

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation

Answers

Answer:

A

Step-by-step explanation:

look it up on google

Answer:

d

Step-by-step explanation:

I need to know what equals y

Answers

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer is AAS hope this helps

Consider this equation: -3x - 5 + 2x = 6
Which is an equivalent equation after combining like terms?
A. -8 + 2x = 6
В. -3х - 3= 6
C. -3x - 5 = 4
D. -X - 5 = 6

Answers

It’s a I had the same question

Which graph represents y as a
function of x?
PLEASE HELP!!!!
BRAINLIEST??

Answers

Answer:

B

Step-by-step explanation:

please help this due today by 3:30

Answers

Answer:8

Step-by-step explanation

Earns $30 but got tipped $6 of the $30 so you subtract $30 and $6 and that give you $24.Then divide the amount of hours he worked which is 3 to 24.

24/3=

$8 per hour

Answer:

10 Smackeroos

Step-by-step explanation:

Follow the order of operations.

(4-1 + 8 ÷ 8) muliplied by 5

Answers

Answer:

20

Step-by-step explanation:

(4-1 + 8 ÷ 8 )= 4

4 x 5 = 20

Find the slope of the line passing through the points (-8,-8) and (6,-8)

Answers

Answer:

Slope = 0

So, the line is parallel to x-axis

Step-by-step explanation:

(x₁ , y₁) = (-8, -8)      & (x₂ ,y₂) = (6 , -8)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0[/tex]

-3-2(5-9)
What is the answer

Answers

5 would be the answer i believe

Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3?

Answers

-3

Step-by-step explanation:

(6-2* 6+5)-2

Answer:

1/6^9

Step-by-step explanation:

Please help 20 points! Identify the graph in vertex form....

Answers

Answer:

it's a   /  

Step-by-step explanation:

A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is ____?
The value of B is____?

Answers

Answer:

The Value of "A" is 10.0 Inches

The Value of "B" is 35 Inches

Step-by-step explanation:

Got it right on

E D G E N U I T Y 2021

The value of A is 10.

The value of B is 35.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.

Hence, We can formulate;

The value of A = 1.25 × 8

                       = 10

And, The value of B is,

⇒ 1.25 × 28

⇒ 35

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Which equation has no solution?

Answers

Answer:

C.

Step-by-step explanation:

C.

5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0

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