write the slope-intercept form of the equation of the line through the given points.

Write The Slope-intercept Form Of The Equation Of The Line Through The Given Points.

Answers

Answer 1

Answer:

y = 4x - 7 (Answer C)

Step-by-step explanation:

First find the slope of this line.  Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.  

Thus, the slope, m, is

m = rise / run = 4/1, or m = 4.

Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:

y - k = m(x - h) becomes y - 1 = 4(x - 2)

Solving for y, we get:  y = 4x - 8 + 1, or y = 4x - 7 (Answer C)


Related Questions

Rona was driving on an asphalt road that had a 35 mile per hour speed limit posted. A lrr r deer jumped out from the side of the road causing Rona to slam on her brakes. Her tires left three skid marks of lengths 70 ft., 72ft., and71ft. The road had a drag factor of .78. Her brakes were operating at 95% efficiency. The police gave Rona a ticket for speeding. Rona insisted that she was driving under the speed limit. Who was correct (the police or Rona)

Answers

Answer:

The answer is "The cops were correct because the average speed would have been about 39.73 miles per hour as per the calculations."

Step-by-step explanation:

Finding the average skid distance:

[tex]Average=\frac{70+71+72}{3}=\frac{213}{3}=71[/tex]

Calculating the skid:  

[tex]S=\sqrt{30 \times D \times f\times n}\\\\[/tex]  

   [tex]=\sqrt{30 \times 71 \times 0.78\times 0.95}\\\\=\sqrt{1,578.33}\\\\=39.73[/tex]

Simplify the product using the distributive property.
(4h + 6)(4h − 7)


16h2 − 52h + 42


16h2 + 4h − 42


16h2 + 52h + 42


16h2 − 4h − 42

Answers

Answer:

16h^2-4h-42

Step-by-step explanation:

4h times 4h is 16h^2

4h times -7 is -28h

4h times 6 is 24h

6 times -7 is -42

Combine like terms to get 16h^2-4h-42

BRAINLISTTTT
What is the simple interest on a $3,750 loan at a rate of 5% per year after 5 years?
a. $4,697.50
b. $13,125.00
c. $9,375.00
d. $937.50

Answers

Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

1. a box contains 11 pink 8 blues and 9 orange marbles. If you pick two marbles without looking , what is the probability that the first will be orange and the second will be pink?

2. You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land heads up on the seventh step?

Answers

1. the probability of picking an orange marble is 35% and the probability of picking a pink marble second would be 66%

2. the probability is about 47%

2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years

Answers

Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.

Answers

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

The graph of which function is the same as the graph of y= shifted to the right 5 units and shifted
up 2 units?

Answers

Answer:

y = 1/x-5 + 2

Step-by-step explanation:

Adding 2 will shift the graph up 2 units

Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right

Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben
rode 2 miles east. How far apart are the two boys?

Answers

Answer:

They are about 3.6 miles away from each other.

Step-by-step explanation:

2²+3² = C²

13=C²

√13 = C

C = 3.6

The distance between Josh and Ben is 3.6 miles

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.

The formula of the Pythagorean theorem is given as,

C² = a² + b²

C² = 2²+3²

C² = 13

C = √13

C = 3.6

Therefore, the distance between Josh and Ben is 3.6 miles

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EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

c sorry if im wrong

Step-by-step explanation:

soryy if im wrong please forgive me if i am

Answer:

D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.

Which ordered pair is the solution to
the system of linear equations below?
(Lesson 8)
2x + y = -4
3x + 2y = -10

(0,4)
(6,-14)
(-3,2)
(2,-8)

Answers

Answer:

The fourth one! (2,-8).

The scale factor is ______.

Question 4 options:

250686

2549

57

125343

Answers

Step-by-step explanation:

sjjJNznnNznznmzmznmzmzmznmx

Answer:

57 i think

Step-by-step explanation:

I believe that it will be 57 since there isn't a big of a difference to make up for thousands

Need explanation for this question please

Answers

The answer to this question is D.

Which of the expressions below is equal to 24/18? Select all that apply.Which of the expressions below is equal to 2418? Select all that apply.

Answers

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

With this transformation the image is never congruent to the original.
A) Reflection
B) Translation
C) Dilation
D) Rotation

Answers

Answer:

C) Dilatation

Step-by-step explanation:

dilatation can make the image of the object bigger or smaller than the original.

dilation is the correct answer because it can get bigger or smaller and isn’t always going to stay the same

jack split 25 jelly beans between his brother and himself of that his brother has won more than twice the number jack has how many jellybeans does each have

Answers

Answer:

jack has 8 jellybeans and his brother has 17

Step-by-step explanation:

Jack have 8 jellies and his brother have 17 jellies.

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator.

Total number of jellies= 25.

The jellies is to be divide between jack and his brother.

let us consider jack has 'x' jellies

Then, his brother have '2x+1'

So, x+ 2x+1=25

3x+1=25

3x=24

x=8

So, jack have 8 jellies and his brother have 2*8+1= 17 jellies.

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Solve for x.
I +27= -12
Enter your answer in the box
X

Answers

Answer:

you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.

please help in this........​

Answers

Helloo!

I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.

3. Airpods are priced at $89.46 after a 37% discount. What was the original price of the Airpods?

Answers

Answer:

the answer is 126.46 I think

Step-by-step explanation:

HELP ME PLEASE

24d=12
What is d


-12c=12
What is c

Answers

d is 1/2 and c is -1

Clint has a pizza that is cut into 4 equal slices. 3 pieces have pepperoni on them. The outher piece. only has cheese. what friction of the pizza only has cheese?​

Answers

Answer:

1/4

Step-by-step explanation:

There are 4 slices

3 of the 4 slices has pepperoni

4-3=1

There is 1 slice without pepperoni, making 1/4th of the pizza pepperoniless.

Brainliest would be appriciated

please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction

Answers

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible

Answers

it is clearly impossible

It is impossible that the probability of rolling 15 with a pair of dice.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Required the probability of rolling 15 with a pair of dice.

But we know that in the roll of a pair of fair dice,

Then the sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Hence, It is impossible that probability of rolling 15 with a pair of dice.

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Help!! It's question 14

Answers

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

you can also do it this way:

3/120 = x/200

x = 600/120 = 5


10) A 15% tip is left on a $72.25 dinner bill. How
much is the tip? Round to the nearest hundredth

Answers

10.84...................

A boy has a weekend job advertising an upcoming play. He has 2 options for being paid. Option A is an hourly wage of $7.00. Option B is a 5% commission on all money made at the play she plans to work 8 hours each day on Saturday and Sunday. He estimates the play will make about $2,100 this weekend. Which option gives him more earnings this weekend?

Answers

Answer:

He would be paid more if he took the hourly wage//option A

Step-by-step explanation: hope this helps<3

Which statements about the relationship between the two triangles below are true? Check all that apply.

Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
Angle C is congruent to angle T
Angle C is congruent to angle S
Angle D is congruent to angle T
Triangle D C A is congruent to triangle T S R
Triangle D C A is similar to triangle T S R
Triangle C A D is similar to triangle T R S
Triangle C A D is congruent to triangle T R S

Answers

Answer:

B C E on edge

Step-by-step explanation:

Answer:

correct answer BCE

Step-by-step explanation:

Find the area of the trapezoid 12in 11in 8in???

HELP ME PLEASE!!!​

Answers

Answer:

formula: A= a+b/2 times height

So 12+8=20/2=10x11=110

Step-by-step explanation:

Complete the square
to find the vertex
of this parabola.
y^2-4x-8y-12=0
([?], [ ])
No Links!!

Answers

Answer:

(-7,4)

Step-by-step explanation:


A 20-pound bag of fertilizer costs $19.60. What is the cost
per pound?

Answers

Answer:

just do 19.60/20 = 0.98$/lbs

hope that answers your question

Step-by-step explanation:

help What is the area, in square centimeters, of the trapezoid below?

Answers

Answer:

115.15 cm²

Step-by-step explanation:

The area of a trapezoid = 1/2 (b1 + b2)h

Where:

b1 = first base = 8.2 cm

b2 = Second base = 15.3 cm

h = height = 9.8 cm

Hence, Area of the trapezoid =

1/2 (8.2 + 15.3) × 9.8

= 1/2 × (23.5) × 9.8

= 115.15 cm²

Therefore, the area, in square centimeters, of the trapezoid below is 115.15 cm²

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