Write an equation in slope-intercept form of the line that passes through (−1, 4)​ and (0, 2)​

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]


Related Questions

20.4 is what percent of 17?

Answers

Answer:

120%

20.4 is 120% of 17.

Step-by-step explanation:

20.4/17 = 1.2

1.2 x 100 = 120%

Hope this helped. Have a good one!

Which of the following statements are true? Select all that apply.

A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Answers

The true statement are

2. <1 + <3 = 180 because form a straight angle.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

What are parallel lines?

Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As, from the figure

1. <3 = <2 because of vertically opposite angle.

Hence, it is false

2. <1 + <3 = 180 because form a straight angle.

Hence, it is true.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

Hence, it is true.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Hence, it is true.

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what is the fifth term of the linear sequence which begins 20, 14, 8

Answers

Answer:

The fifth term is -4

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 5th term.

an = a1 + ( n-1 ) d

a5 = 20 + ( 5-1 ) -6

a5 = 20+ ( -24 )

a5 = -4

Solve the |4X -5|= |-X +5|

Answers

Recall the definition of absolute value:

[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]

Then we have a few cases to consider:

• If [tex]4x-5\ge0[/tex] and [tex]-x+5\ge0[/tex], the equation simplifies to

[tex]4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}[/tex]

• If [tex]4x-5<0[/tex] and [tex]-x+5\ge0[/tex], we get

[tex]-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}[/tex]

• If [tex]4x-5\ge0[/tex] and [tex]-x+5<0[/tex], then

[tex]4x-5 = -(-x+5) \implies 3x=0 \implies x=0[/tex]

but we already have this solution.

• If [tex]4x-5<0[/tex] and [tex]-x+5<0[/tex], then

[tex]-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2[/tex]

which we also already found.

What will a 68% do to a 72.99%?

Answers

Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.

It will be lowered vy like one or two percent

i think

Seven less than twice a number is 43. What is the number?

Answers

Answer:

25

Step-by-step explanation:

x = the number

2x - 7 = 43

    +7      +7

-----------------

2x = 50

------------

2        2

x = 25

SOMEONE HELP ME PLEASE <3

Answers

Answer:

A.90

Step-by-step explanation:

thank me later

Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.


Victoria says that she has enough money to buy the skateboard. Is she correct?

Answers

The Answer is No. Further explanation in Attachment

-57 = 16 + 5m
What does m=

Answers

Answer:

m = -14.6

Step-by-step explanation:

Given Question:To find the value of m

Given Equation:-57 = 16 + 5m

Solution:

=> -57 = 16 + 5m

=> 16 + 5m = -57

(On subtracting -16 from both sides)

=> 16 + 5m - 16 = -57 - 16

(On Simplification)

=> 5m = - 73

(On dividing both sides with 5)

[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]

(On Simplification)

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.

Answers

120 degrees I hope you’re helping

1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS

Answers

Answer:

The answer is -.17 and that is rounded to the nearest hundredth.

Step-by-step explanation:

Let me know if you need it!

1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]

Answers

Answer:

[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]

Astudent built a scale model of his house using a scale in which 3 inches represents 15 feet.The height of his real house is 45 feet.What is the height of the scale model in inches?
NEED HELP ASAP

Answers

Answer:

9 inches

Step-by-step explanation:

divide,write in simplest form 6 1/2 divided by 3/4

Answers

Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

[tex]\frac{13}{2} /\frac{3}{4}[/tex]

Reciprocal:

[tex]\frac{13}{2}*\frac{4}{3}[/tex]

Simplify:

[tex]\frac{13}{1}*\frac{2}{3}[/tex]

Solve:

[tex]\frac{26}{3}=8\frac{2}{3}[/tex]

Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours

Answers

Answer:

3.5: 0.75 is the aswee

Step-by-step explanation:

I just turned into improper then decimal

pls give me brainliest

20. Marissa has a $50, $20, $10, $5, and $1 bill in
her wallet. She takes the bills out and
randomly line them up. What is the
probability that the first bill is greater than
$5?

Answers

Answer: I believe it would be 60% tell if I am wrong

Step-by-step explanation:

The probability of getting first bill is greater than $5 is 1/5 or 0.2

Probability:

The probability of any event is the mathematical possibility of that event.

Probability is always lies between 0 to 1

Sure event has probability 1 while impossible event probability 0

The formula for probability is

Probability = [tex]\frac{number of favorable event}{total number of event}[/tex]

How to find probability?

Here the total event is

S = {$1, $5, $10, $20, $50}

Total number of events = 5

The probability of find greater than $5 is

Probability = 1/5 = 0.2

Hence the final answer is 0.2

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Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2

Answers

Answer:

5b2 - b -2

Step-by-step explanation:

The answer is (c)

The answer is: C

5b^2-b-2

Which numbers on the spinner
have less than a 25% probability
of being spun?

Answers

Answer:

1

Step-by-step explanation:

I not completely sure but I think it 1

A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)

Answers

45in/ 15 sec= 3in/sec

12in/ 3 sec = 4 in/sec

The snail moves at a faster rate then the ant does

Answer:

the snail

Step-by-step explanation:

in order to find who is faster you have to find how many inches each one does in one sec

Ant= 45/15 which is 3 inches per sec.

snail=12/3 which is 4 inches per sec.

so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs

I hope this helps

Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume

Answers

I don’t know if this is right but I think the volume is 226.19 in!!

6+z=10
p-5=15
4+m=12

y-4=19
b-17=12
3=d+2

Please Show your Work​

Answers

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

The quotient of 2 numbers, p and q

Answers

Answer:

2p/q

2q/p

q/p=2

p/q =2

Step-by-step explanation:

Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.


Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?

Answers

Answer:

Step-by-step explanation:

A∩B = 4

4 is in both set so it unites them therefore it’s the union

Conner earns 24$ working every 1.5 12 blank

Answers

Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!

Step-by-step explanation:

Pre college need help with this question

Answers

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?

Answers

Answer:

not

Step-by-step explanation:

because negetive plus negative will equal negative and bot positive

if this is multiplication yes it does apply...-1×-1=1

What type of angle of this?

Answers

Answer:

angle x is equal to 60º so its an acute angle

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these

180-120=60

Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?

Answers

[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]

The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.

Answers

Based on the information given the tax rate if the house was valued at $100,000 is 60%.

Let $600= x%

Let $100,000=100%

Let the tax rate=x

Proportion:

600/100,000=x/100

Hence,

x=600×100/100,000

x=60,000/100,000

x=60/100

x=0.6%×100

x=60%

Inconclusion  the tax rate if the house was valued at $100,000 is 60%.

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The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.

What is property tax?

The property tax is the levy imposed on the assessed value of the property of an individual or corporation.

Property tax is usually levied as a percentage of the assessed value.

Data and Calculations:

Property tax = $600

House value - $100,000

Tax rate = 0.6% ($600/$100,000 x 100)

Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.

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Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you have the higher percentile ranking. b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful – mean, median, mode? Explain

Answers

A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:

360 = 100 89 = X 89 x 100/360 = X 24.72 = X 450 = 100 95 = X 95 x 100/450 = X 21.11 = X

Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

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