The slope of the line below is 2. Which of the following is the point-slope form of the line?
Answers
The correct point-slope form of the line is A. y + 1 = 2(x - 1).
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Given that the slope of the line is 2 and the point on the line is (1, -1), we can substitute these values into the point-slope form to find the correct equation.
Using the point-slope form, we have:
y - (-1) = 2(x - 1)
Simplifying the equation, we get:
y + 1 = 2(x - 1)
Now we compare this equation to the answer choices:
A. y + 1 = 2(x - 1)
B. y - 1 = -2(x + 1)
C. y + 1 = -2(x - 1)
D. y - 1 = 2(x + 1)
Comparing the equation y + 1 = 2(x - 1) to the given point-slope form, we see that they match.
In this equation, the point (1, -1) lies on the line, and the slope of the line is 2. The equation represents a line with a slope of 2 that passes through the point (1, -1).
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Related Questions
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answers
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
To learn more about the percentage;
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this one alsooooooooo
Answers
Answer:
the answer is cd
Step-by-step explanation:
If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?
Answers
Answer:
It would take 28 months for Gym Strong to be a better buy.
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)
Answers
Answer:
12
Step-by-step explanation:
2 + 3 + 7 pathways = 12 :)
Answer:
11
Step-by-step explanation:
a
in science class mrs.moore students were directed to weight a 300 gram mass on the balance scale tina weighed the object and reported 328 grams
Answers
Answer: 9 1/3%
Step-by-step explanation:
Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4
Answers
Answer:
[tex]- \frac{45}{4}[/tex]
Step-by-step explanation:
Step one:
given the information
[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number
let us convert this to a proper fraction
Step two:
Multiply the integer by the denominator and add the numerator, we have
[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]
The third option is correct
While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?
Answers
Answer:
160
Step-by-step explanation:
Number of DVDs put on the first rack = 5
Number of DVDs put on the second rack = 10
If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.
Number of DVDs put on the third rack = 20
If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.
Number of DVDs put on the fourth rack = 40
If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.
Number of DVDs put on the fifth rack = 80
If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.
Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.
Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]
What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?
Answers
Answer:
3
Step-by-step explanation:
m=y2-y1/x2-x1
-3+2/8-5
-1/3
perp. = negative reciprocal
3
Fill in the table using this function rule.
y=29-4x
Answers
Answer:
x.1 y.25
x.3 y.17
x.5 y.9
x.6 y.5
Step-by-step explanation:
5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3
Answers
what is 130203 in cryptology
Answers
Answer:
idek
Step-by-step explanation:
idek
sdjdjdkkdeieoeoeoeoeeo
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
Learn more about function here:
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Which table could be a partial set of values for a linear function? x y 0 1 1 2 2 5 3 10 x y 0 9 1 8 2 5 3 0 x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9
Answers
Answer:
x y
0 3
1 5
2 7
3 9
What is the answer to -6a(2b + 5c) In distributive Property?
Answers
Answer:
-12ab-30ac
Step-by-step explanation:
What is c?
1.51=c10
c = can someone explain I'm a little confused >
Answers
Answer:
0.151
Step-by-step explanation:
1.51=c10
we divide 10 by both sides
1.51/10 = c10/10
we cancel 10/10 and 1.51/10=0.151
so
c=0.151
tell me if u need a more clear explanation
Answer: 15 hope this help's and if not please give a bad rating
Help me out plz I will gave u Brainliest
Answers
Answer:
17280 if your multiplying
8 divided by 10 is 0.8
12 divided by 18 is 0.6667
1.19
Step-by-step explanation:
1.1940029985
yes i used a calculator for the last one
Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x
Answers
please see my steps to work this problem
A.) 18
B.) 20
C.) 24
D.) 25
Answers
D, s=180- n-2
and s=165n
165n=180-n-2
What are the steps, in order, needed to solve 3x + 4 = 13?
Answers
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
Hi. Please i need help with this . No jokes .
Answers
Answer:
I) The roots are:
First Case:
[tex]x=-2\text{ or } x=-6[/tex]
Second Case:
[tex]x=2\text{ or } x=6[/tex]
II) Possible values of p are:
First Case:
[tex]p=-12[/tex]
Second Case:
[tex]p=4[/tex]
Step-by-step explanation:
We have the equation:
[tex]x^2-(4+p)x+12=0[/tex]
We know that one of the roots is three times the other.
And we want to find the roots of the equation and the possible values for p.
To find our solutions, we can use the process of factoring.
If we have an equation in the form:
[tex]x^2+bx+c=0[/tex]
We want to find two numbers, say, k and j, such that:
[tex]\displaystytle kj=c\text{ and } k+j=b[/tex]
After finding them, we can factor as such:
[tex](x+k)(x+j)[/tex]
So, -k and -j will be our zeros.
Therefore, for our equation, we will find two numbers k and j such that:
[tex]\displaystyle kj=12\text{ and } k+j=-(4+p)[/tex]
Notice that for the first criterion, we can simply list all the factors of 12.
So, according to the first equation, possible values of k and j are:
1 and 12; 2 and 6; or 3 and 4.
Then, our roots will be -1 and -12; -2 and -6; or -3 and -4, respectively.
However, remember that one of our roots is three times the other.
Therefore, the only candidates that work will be the second option.
Hence, k and j are 2 and 6.
Therefore:
[tex]k=2\text{ and } j=6[/tex]
With this information, we can now determine p. Since:
[tex]k+j=-(4+p)[/tex]
Then it follows that:
[tex]\begin{aligned}(2)+(6)&=-(4+p)\\8&=-(4+p)\\-8&=4+p\\p&=-12\end{aligned}[/tex]
Hence, our equation is:
[tex]x^2-(4+-12)x+12=0[/tex]
Or, factored:
[tex]x^2+8x+12=0 \text{ or } (x+6)(x+2)=0[/tex]
So, our roots are x=-6 and x=-2 when p=-12.
However, we also need to consider the negative factors of 12.
Factors of 12 also include -2 and -6.
Hence, our k and j can also be k=-2 and j=-6.
Then, in this case, our p is :
[tex]\begin{aligned} (-2)+(-6)&=-(4+p)\\-8&=-(4+p)\\8&=4+p\\p&=4\end{aligned}[/tex]
Therefore, for our second case, k=-2 and j=-6. Then p=4. So, our equation is:
[tex]x^2-(4+4)x+12=0[/tex]
Or, factored:
[tex]x^2-8x+12\text{ or } (x-2)(x-6)=0[/tex]
Hence, when p=4, our roots are x=2 and x=6.
Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42
Answers
Answer:
42
Step-by-step explanation:
g(-5)=-5.-5+17
=25+17
=42
Answer:
42
Step-by-step explanation:
g(x) = -5x+ 17
g(-5) = -5 × -5 +17
g(-5) = 42
Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answers
Answer:
#1
(1,7) , (2,10) , (3,5) , (4,7) , (5,9)#2
5 students were absent on day 3#3
Day 2 had the greatest number of absent students. There were 10 absent students on that day.#4
The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.Step-by-step explanation:
Hope this helps
mga solusyon sa epektibong komunukasyon sa pamilya
Answers
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
If you can help me on these I’ll give you brainliest
Answers
Answer:
B
Step-by-step explanation:
Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.
Answer:
B) a long-term from of torpor
Determine whether the relation is a function. Quick EMERGENCY
Answers
Answer
no
Explanation
.
Answer:
Not a function
Step-by-step explanation:
A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function
lines b and c are parallel. What is the measure of angle 6?
Answers
Answer:
m<6=126
Step-by-step explanation:
Explanation: x=9, angle 6= 9(x)+9
Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....
Answers
Answer:
217,2 m
Step-by-step explanation:
Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:
1.-El área de la finca es:
A = L²
Y el perimetro de un cuadrado es P = 4*L
Entonces
P = 4 * 54,3
P = 217,2 m
A landscaping company placed two orders with a nursery. First order was 5 bushes and 8 trees,and totaled $374.The second order was for 9 bushes and 2 trees, and totaled $202.The bills do not lost pre-item price.What were the costs of one bush and of one tree?
Answers
Answer:For one bush it would be $185 and for one tree it would be $189.
Step-by-step explanation:185 + 189 = 374
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answers
Answer:
$20
Step-by-step explanation:
you divide 40 by the two tickets and get $20.
Answer:
$20
Step-by-step explanation:
2 into 40 = 20
3 into 60 = 20
4 into 80 = 20
Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.
Answers
Answer:
40 people
Step-by-step explanation:
simply divide 1/8 from 5 which is 40
5/ 1/8 = 40