A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3


Related Questions

100 POINTS Suppose ܶTU is on a coordinate plane located at T(-6,-2) and U(2,-6) Under a dilation of scale factor 1/4, TU becomes T'U' with coordinates T'(-3/2,-1/2) and U'(1/2,-3/2) Where is the center of the dilation located ?

A(0,0)

B(2,2)

C(4,0)

D(4,4)

Answers

c because the center of dilation is the multiplicatory value of the original point

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Answers

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775

shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake

Answers

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

Answers

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

Find the value of 7u-8 given that -4u-5=3

Answers

Answer:

22

Step-by-step explanation:

-4u - 5 = 3

=> -4u = 8

=> u = -2

=> 7(-2) - 8

=> -14 - 8

=> -22

Therefore, -22 is our answer.

Hoped this helped.

A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer:

answer in the link

Step-by-step explanation:

I’ll give brainliest and thanks and 5 stars
Solve for c and d.

Answers

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24

Answers

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

-3(x+4) - 2(5x-6)

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.

At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.

Answers

Answer:

Y=-4x+99

Step-by-step explanation:

Your y intercept is always the last number in the equation

The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.

Therefore, the slope of the line is;

m = Δy/Δx

m = 4

The equation in slope-intercept form is;

Y=-4x+99

To know more about the Slope of the line here;

brainly.com/question/14511992

#SPJ2

Estimate a 15% tip a dinner bill of $47.64 by rounding a bill amount to the nearest ten dollars

Answers

Answer:

$7.14

Step-by-step explanation:

$47.64 to $47.6

47.6*15/100

=$7.14

(I maybe wrong though lol)

Find the quotient of 15.75 and 4.5?

Answers

Answer: 3.5

Step-by-step explanation: 15.75 ÷ 4.5                                                                   3.5

Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour​

Answers

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

how can u calculate 23x4 if the 4 buton is broken?

Answers

Answer:

23x2x2

Step-by-step explanation:

What’s the gradient and y intercept for c and e and could u explain pls thx

Answers

Step-by-step explanation:

if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept

in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2

in e:6y=2x+3

y=x/3+1/2,gradient = 1/3, y-intercept=1/2

The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b

And the y-intercept is simply the value b.

so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.

So, for a.

y = -1/2x + 8

it's pretty simple : gradient = -1/2

y intercept = 8

Now for c.

[tex]y=\frac{2x-6}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]

[tex]y=\frac{2}{3}x-2[/tex]

So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )

e.

-2x + 6y - 3 = 0

6y = 2x + 3

y = (2/6)*x + (3/6)

y = (1/3)*x + (1/2)

so the gradient is 1/3

and the y-intercept is 1/2

Good luck, your the best :)

The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?

Answers

Using proportions, it is found that they won 14 games after the first 16 games.

This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

[tex]2x = 3(12)[/tex]

[tex]x = \frac{36}{2}[/tex]

[tex]x = 18[/tex]

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

A similar problem is given at https://brainly.com/question/24372153

8 × (4^2 + 2) please help

Answers

Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

A recipe for a batch of muffins calls for 13 cup of sugar, 34 cup of flour, and 12 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?

Answers

Answer:

177 total cups

Step-by-step explanation:

13×3=39 sugar

34×3=102 flour

12×3=63 milk

total 177

what is the answer ?????​

Answers

Answer:

20%=20/100

       =2/10

       =1/5

35%=35/100

      =0.35

1- Answer : 1/4
all the other answers do not make sense
20 times 6 is 120 and 20 is not 20 percent of that
20 times 4 equals 100
making that 20%
2-0.35
When making a number or percentage into a decimal just put it in the right numeral placing and add a dot when necessary


Hope I helped

Use the method of your choice to factor 8m^3−343 completely.

Answers

52m(-872)=92.28763m
The method would be the power of m with 92=92.28763

please help!! graph y=-4/3x+8

Answers

Answer:

put a point on (0,8) and (4,3)

The height of above ground level in meters of missile launched vertically,is given by
H(t)=-16t³+100t
At what time is the missile 72m

Answers

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let h(t) represent the height of the missile above the ground at time t. Given that:

h(t) = -16t³ + 100t

When the height is 72 m:

72 = -16t³ + 100t

16t³ - 100t + 72 = 0

t = 2 seconds and t = 0.8 seconds

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

Find out more on equation at: https://brainly.com/question/2972832

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How to get y intercept from 2 points.

Answers

Step-by-step explanation:

What I don "t" undesrtand

your problem for The

mathematics

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

this is the very last question I swear :-)

Answers

Answer:

x= (p+10)/5

Step-by-step explanation:

first you take the peaches and add 10, p+10, and then divide by 5

Answer:

(p + 10)/5

Step-by-step explanation:

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answers

Answer:

[tex]1.75+0.25log_{10}a[/tex]

Step-by-step explanation:

Given:

[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]

Simplify:

[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]

log both sides:

[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]

if f(x) = (3+x)/(x-3), what is f(a+2)​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(a + 2), substitute x = a + 2 into f(x), that is

f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]

Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)​

Answers

Answer: y = (x+6)(x-8)

Step-by-step explanation:


HELP ME PLEASE

r | 6 + 1 =9

please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!

Answers

Step-by-step explanation:

[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]

Answer:

r = 48

Step-by-step explanation:

The goal is to get r on one side of the equation.

To do this do the same thing to both sides of the eqaution to keep it in balance.

r/6 + 1 = 9

Subtract 1 from both sides

r/6 = 8

multiply both sides by 6

r = 48

I will give brainliest who ever answers fastest what is 1+1=?

Answers

Answer:

2

Step-by-step explanation:

Like and give 5 star rating

What's the circumference of a
circle with a radius of 2 inches?
Use 3.14 for t.
C = [? ] inches

Answers

Answer:

C = 12.57 inches

:) have a good day

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