which equation represents the line that passes through the points (3, 7) and (-1, -1)?
Answers
points: (3, 7) and (-1, -1)
slope (m) :
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
========
[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]
[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]
[tex]\hookrightarrow 2[/tex]
Equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
==============
[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]
[tex]\rightarrow \sf y = 2x-6+7[/tex]
[tex]\rightarrow \sf y = 2x+1[/tex]
Answer:
[tex]y = 2x- 1[/tex]
Step-by-step explanation:
To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.
Determining the slope of the line:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]
Substituting the points in the slope formula:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
Simplifying the slope:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]
Determining the equation of the line:
We shall use point slope form to determine the equation of the line.
[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]
Substitute the slope and the coordinates of any two points stated above.
[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]
Simplify the equation and organize it to slope intercept form:
[tex]y -7= 2x- 6[/tex]
[tex]y = 2x- 6 + 7[/tex]
[tex]y = 2x+ 1[/tex]
Related Questions
Using only an addition, how do you add eight 8’s and get the number 1000?
Answers
888 + 88 + 8 + 8 + 8 = 1000
have a nice day!
888 + 88 + 8 + 8 + 8 = 1000
hope this helps....
In the figure, AD is perpendicular to BD, AC is perpendicular to BC, and AD ≅ BC.
Which of the following congruences is NOT necessarily true?
∠DAB ≅ ∠CBA
AE ≅ BE
AC ≅ BD
AD ≅ AE
∠EAB ≅ ∠EBA
Answers
Answer:
D) AD ≅ AEStep-by-step explanation:
According to given details the triangles ADB and BCE are congruent as per HL congruence
Lets verify the choices
∠DAB ≅ ∠CBA,
this is true as corresponding angles of congruent trianglesAE ≅ BE,
this is true as AEB is isoscelesAC ≅ BD,
this is true as corresponding sides of congruent trianglesAD ≅ AE,
this is NOT true as AE > AD as hypotenuse of right triangle is greater than legs∠EAB ≅ ∠EBA,
this is true as AEB is isoscelesAnswer:
D) AD ≅ AE
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
Please solve this one
Answers
Answer:
Step-by-step explanation:
Which fraction is the smallest?
A. 3/4
B. 3/5
C. 3/7
D. 3/9
Answers
Answer:
D. 3/9
Step-by-step explanation:
Attached below is a picture with each fraction illustrated.
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60
Answers
Susan's monthly payment will be $117.93.
We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.
P=3500
r=30%
t=3
What is the amortization formula?[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]
Where A is the payment,
P= principal,
r =the annual interest rate
t is the number of years.
use the given value in the formula we get
[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]
A=117.9288
A= 117.93
Susan's monthly payment will be $117.93.
To learn more about the monthly payment visit:
https://brainly.com/question/25109150
Answer: C $117.93
Step-by-step explanation:
WILL MARK BRAINLIST!!!
Answers
Answer:
7 hrs 42 mins
SAnswer: 7 hrs 42 mins
Step-by-step explanation:
San Antonio to Houston 3 1/3
Houston to Dallas 4 1/12
3 1/3 + 4 1/12=10/3+48/12=89/12=75/12
7 5/12= 7.4166667
= 7hrs and 42 minstep-by-step explanation:
500 Rounded to the ones place. (whole number)
Answers
Answer:
500
Remember the rounding rule for the ones place...
0 to 4? Round down or keep the same.
5 to 9? Round up.
__________________________________________________________
Questions?Ask in comments.
what will happen to the mean and mad of this distribution if i move the clinics graph to the right
Answers
Step-by-step explanation:
Graph to move right
As we can see mad is same (10)
Hence it doesn't affect the mad what we do with base axisSo if we turn mean to right it gets bigger.
Option A is correct
Someone solve number 9 and 10 please just give answer
Answers
Answer:
9.) 37.55102% or 37.6 depending on how deep into the question you are required to go.
10.) not sure. someone else will have to help you
Step-by-step explanation:
Which function in vertex form is equivalent to f(x) = x2 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 0 f(x) = (x 8)2 – 72 f(x) = (x 4)2 – 32
Answers
The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.
The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]
Converting to vertex form:
[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]
(let we make terms such that it becomes (a+b)^2 's formula).
[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]
Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Answer:
A
Step-by-step explanation:
1. X=7 and y=3
A. X+Y=
B. X+X+Y=
C. 2X+5Y=
D. 8(X+Y)=
E. 15(2X+Y+Y)=
Answers
Answer:
A. 10
B. 17
C. 29
D. 80
E. 300
Step-by-step explanation:
A.
x + y
7 + 3
10
B.
x + x + y
7 + 7 + 3
14 + 3
17
C.
2x + 5y
2(7) + 5(3)
14 + 15
29
D.
8(x + y)
8(7 + 3)
8(10)
80
E.
15(2x + y + y)
15(2(7) + 3 + 3)
15(14 + 3 + 3)
15(17 + 3)
15(20)
300
A rectangle has the sum of length and breadth 20 cm. find the perimeter.
Answers
40 cm.
Step-by-step explanation:[tex]Because=(long+width)\times 2=perimeter[/tex]
[tex]50:the\ perimeter=20\times 2=40\ cm[/tex]
I hope this helps you
:)
Does anyone get this?! ISTG IF ONE OF U BOTS DROP A LINK IM GONNA-
Only answer if you know :)
Answers
Answer:
Diagonal : 10.2
Longer side: 6
Shorter side: 4
Step-by-step explanation:
Answer:
The Answers are 10.6 for the first one 6 for the second one and 4 for the third one
Step-by-step explanation:
Hope this helps sry if I'm wrong
I also needed the points :)
HELP!! I NEED HELP WITH MY MATH
Answers
Answer:
partA option B is the correct answer
partB option A is the correct answer
What is the measure of z?
Answers
3x^2+7x+14=-7x to the nearest tenth
Answers
Answer:
hope this helps
Step-by-step explanation:
3x^2+ 14 x+14= 0
-3.22 , -1.45
help!!! 25 points !!
Answers
Answer:
plan c. is the answer byebye
Condos in Padre Island increase in value by 7% each year. If the Garza's family's condo is now worth
$150,000, what will it be worth in 8 years (Round to the nearest cent) ? TEKS A2.5(B)(D)
Answers
Can someone help me with this problem?
Answers
Answer:
3 (4+13)
Step-by-step explanation:
The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.
Does the budgeted amount cover the actual amount for expenses,savings,and emergencies? A. No it’s short $207.00 B.No it’s short $227.00 C.Yes,there’s a surplus of $207.00 D yes there’s is a surplus of 227.00
Answers
Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:
A. No it’s short $207.00.
In the graph, what are the differences between the budgeted and used amounts?In utilities, there was a surplus of $20.In groceries, the budget was $150 short.In clothing, the budget was $75 short.In gas, the budget was $2 short.Hence, the difference between the budgeted amount and the used amount is given by:
20 - (150 + 75 + 2) = -207.
The budget was $207 short, hence option A is correct.
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what is the equation to represent these words the product of a number and 5 is 8
Answers
Answer:
let's say the Missing number is called 'y'.
product means multiplication so
y x 5 = 8.
Hope this at least helps.
Step-by-step explanation:
y x 5 =8
5y = 8
y = 8/5
work out the value of 21+2x when x = -2
Answers
Hey there!
21 + 2x
= 21 + 2(-2)
= 21 - 4
= 17
Therefore, your answer is: 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The numbers of runs scored by a baseball team over nine games is shown below.
Answers
Answer:
C
Step-by-step explanation:
The avg is about 3.6
A medium pizza cheese pizza a papa johns costs $6.80 plus $0.90 for each topping. The cost of a medium cheese pizza at pizza hut is $7.30 plus $o.65 for each topping. How many toppings need to be added to a large cheese pizza from papa johns and pizza hut in order for the pizzas to cost the same, not including tax?
Answers
Answer:
I hope I answered your question!
Step-by-step explanation:
6.80+0.90x=7.30+0.65x (multiply by 100 on both sides)
680+90x=730+65x
50=25x
x=2
Therefore you need to add 2 toppings to each pizza to make them cost the same.
Which situation below has the highest constant of
proportionality?
A) 16 ounces of jasmine rice costs $4.80.
B) 32 ounces of white rice costs $6.40
C) 12 ounces of white rice costs $1.20.
D) 9 ounces of brown rice costs $1.80
Answers
Answer:
A) k = 0.3Step-by-step explanation:
Find the constant of proportionality k in each case and compare
y = kxA)
16k = 4.80 ⇒ k = 4.80/16 ⇒ k = 0.3B)
32k = 6.40 ⇒ k = 6.40/32 ⇒ k = 0.2C)
12k = 1.20 ⇒ k = 1.20/12 ⇒ k = 0.1D)
9k = 1.80 ⇒ k = 1.80/9 ⇒ k = 0.2As we see k = 0.3 is the highest one
We need unit rates for all
#A
4.80/160.3#B
6.4/320.2#C
1.2/120.1#D
1.8/90.2A has highest
100 points and brainliest please help i only got 10 minutes!
Answers
Answer:
Step-by-step explanation:
(a)
Data Set 1
Mean : 70 + 65 + 72 + 80 + 73 / 5Mean = 357/5 = 71.4Deviation from Mean : 1.4 + 6.4 + 0.6 + 8.6 + 1.6 / 5M.A.D = 18.6/5 = 3.72Data Set 2
Mean : 61 + 47 + 70 + 63 + 54 / 5Mean : 295/5 = 59Deviation from Mean : 2 + 12 + 11 + 4 + 5 / 5M.A.D. = 34/5 = 6.8Comparison
On comparing the Mean Aboslute Deviation values of the two games, it is seen that that the Leaping Lizards game has a higher MAD than the Jumping Jackrabbits game, which means the scores deviate more in the Leaping Lizards game, whereas in the other game it is consistentWhen looking for the range of a graph, what values are you looking for?
Answers
Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.
How much will it cost the company to make 600 helmets? $
Answers
Answer:
15,600
Step-by-step explanation:
Answer:
15,600
Step-by-step explanation:
Question
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
h is unknown
8 ft is the diameter
Answers
Answer:
H = 5.0
Step-by-step explanation:
Using the formula
[tex]V=\pi r^{2} h[/tex]
Solving for h
[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]
Round to the nearest tenth
[tex]5.0[/tex]
A spinner is divided into five colored sections that are not of equal size: red,
blue, green, yellow, and purple. The spinner is spun several times, and the
results are recorded below:
Spinner Results
Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
yellow as a percent to the nearest whole number.
Answers
Answer:
15.09%
Step-by-step explanation:
Sum of frequencies = 53
Probability = 8
53
=0.1509
Expressing as a percentage
>> 15.09%