What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT
Answers
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):
[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]
The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:
[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]
Now we have both the slope and the y-intercept so you can write the equation for the line:
[tex]y=8x-25[/tex]
You can test that either by checking y for some value of x, or by graphing.
Related Questions
1.8.3 practice - functions
11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.
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Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived
10 hours sooner. How fast did he actually ride?
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Step-by-step explanation:
Distance = (Rate)(Time) So, Time = (Distance)/(Rate)
Time at slower speed = Time at faster speed + 3
36/x = 36/(x+6) + 3
Multiply the equation by the LCD, x(x+6) to obtain:
36(x+6) = 36x + 3x(x+6)
36x + 216 = 36x + 3x2 + 18x
3x2 + 18x - 216 = 0
x2 + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 or x = 6
Since x can't be negative, x = 6 mph
Two decimal for 2597.58333
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Answer:
2597. 58000 and this is the ans
graph the solution of the inequality 2.25k≤−9
Answers
Answer:
Wouldn’t negative 9 be the inequality because its less than 2.25
Step-by-step explanation:
Hey budddy if i got this wrong im soooooo, sorry
A model village is built to scale. It has a scale of 1 : 23. A road has a real-life length of 1.61 km. What is the length of the road in the model village in m?
Answers
Answer:
We need to find how much more or less the ratio becomes
1.61 / 23 = 0.07
we multiply 0.07 with 1 to make the ratio even and get your answer
1 x 0.07 = 0.07 on the map
Hope this helps
Step-by-step explanation:
1) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks.
)) Erin is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 239-meter warmup and then swim
laps in a lane that is 32 meters long. If Erin swims at the indoor pool at her gym, she will
complete a 223-meter warmup, plus a main set that consists of 33 meters per lap. If Erin
swims the correct number of laps, she can complete the same distance in either pool. How
many laps will that take? How long will Erin's workout be in total?
Erin swims
meters
laps at either pool, she can complete a total workout of
Answers
y = 33x + 223
y = 32x + 239
I still like substitution, so let’s plug in 33x + 223 into the second equation
33x + 223 = 32x + 239
Move the terms into appropriate sides
33x - 32x = 239 - 223
Combine like terms
x = 16
Then plug in x for any equation
y = 32(16) + 239
y = 751
Erin will have to swim 16 laps for a total of 751 meters
Which line has a constant of proportionality between y and x of 4/3
Answers
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).
Express 8^-4 using a positive exponents
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That’s the answer
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Thank you
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Answer:
I don't see any statements, but Tamara paid less. She paid 19.8 after the discount. David spent a little more at 19.95
3/15 as an improper fraction
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Answer:
3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction
=> 3/15 = 1/5
Step-by-step explanation:
Hoped this helped.
Answer:3/15 as an improper fraction is 1/5
Step-by-step explanation:1 over 5
Which expressions have a value of 54 when v= 6? Choose all the correct answers.
A 2(v2 – 9)
B V3 = 18 + 3
C (2v)2 – 90
-
D 13 = 3 – 18
E 2(v2 – 90)
F (v + 2)2 – 10
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need help now please i will give 25 points
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Answer:
Answer is letter B
if im wrong i'm sorry that my opinion
Answer:
B) y = -x + 2
Step-by-step explanation:
First, we pick 2 points that are on the line:
(0, 2) and (1, 1)
Next, we find the slope (m):
m = (y2 - y1)/(x2 - x1)
m = (1 - 2)/(1 - 0)
m = (-1)/1
m = -1
Then, we do point-slope formula to create the equation:
y - y1 = m(x - x1)
y - 2 = -1(x - 0)
y - 2 = -x
y = -x + 2
Find the measure of ∠B. Angles are in the image below, Need answers ASAP if possible thanks!
Answers
Answer:
30
Step-by-step explanation:
The red square means it equals 90 degrees
90 - 60 = 30
I hope this helps
simplify _4x+2y+z_3x+2y_2z
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Answer:
maybe 3xz + 4yz + 4x + 2y
Step-by-step explanation:
I tried my best!
(-x+ 4) (3х^2 + 3х + 5)
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Answer:
-3x^3 + 9x^2 + 7x + 20
Step-by-step explanation:
this is the expression simplified
Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?
Answers
Answer:
5.3 ft
Step-by-step explanation:
Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.
(5,65) (7,71) slope
Answers
Answer:
3
Step-by-step explanation:
The slope formula is m=y2-y1/x2-x1
y2 is 71
y1 is 65
x2 is 7
x1 is 5
71-65 is 6
7-5 is 2
So the slope looks like this:
6/2
Simplify:
Which is 3
Hope this helps!
what 5 + 5- just asnwer pls
Answers
Answer:
5+5=10
but if you mean
5+-5 then that = 0
Step-by-step explanation:
In this problem, I did part a) correctly, but I got 7 points off in part b) but I don’t know why?
Answers
Answer: You need to prove that ABCD is a rhombus because it's diagonals are always perpendicular, no matter what.
A rhombus is a quadrilateral and:
- its opposite angles have equal measure.
- The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.
- Its diagonals bisect opposite angles.
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.
Answers
Answer:
the answer is 12 feet
Step-by-step explanation:
Mrs Granger is writing problems for a test about subtracting fractions.Help her write two different subtraction problems that use only odd numbers for numerators and each have a difference of 3/4
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1.
The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 1 - ¹/₄
The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is
1 - ¹/₄ = ¹/₁ - ¹/₄
taking the L.C.M which is 4, we have
= (4 - 1)/4
= 3/4
So, the first subtraction problem is 1 - ¹/₄
2.
The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 2¹/₂ - 1³/₄
The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is
2¹/₂ - 1³/₄ = ⁵/₂ - ⁷/₄
taking the L.C.M which is 4, we have
= (10 - 7)/4
= 3/4
So, the second subtraction problem is 2¹/₂ - 1³/₄
Learn more about subtraction of fractions here:
https://brainly.com/question/8917933
C plus 3/8 equals 1 1/3 what does C equal
ASAP
Answers
Answer:
Exact Form:
C=23/24
Decimal Form:
C=0.9583
Step-by-step explanation:
What is 8/m - 11/3m=?
Answers
Answer:
8/3m + 8Step-by-step explanation:
What is 8/m - 11/3m=?
8/m - 113m =
(3 - 11/3)m + 8 =
8/3m + 8
Answer:
13/3m
Step-by-step explanation:
I need it no link no bot right, please
Answers
Answer: fifths
Step-by-step explanation:
fifths because you would divide the 3 loves with the amount of people there is.
x2 +
x + 36
Help me lol
Answers
Answer:
x²+12x+36 =0
Step-by-step explanation:
Hii, so I'm assuming your equation is equal to 0-->
x²+_x+36 =0
this could go many ways..
x²+12x+36 =0
which factor to (x+6)(x+6)
x²+15x+36 =0
which factor to (x+12)(x+3)
x²+13x+36 =0
which factor to (x+9)(x+4)
If I had to choose a answer.. I would go with the 1st option x²+12x+36 =0
Hope this helps, if there was more to this question, leave a comment and I can come back and help you ;)
Answer:
Step-by-step explanation:
1) Which multiplication expression is equivalent to
-8 + (-8) + (-8) + (-8)?
Answers
Answer:
-8 x 4
Step-by-step explanation:
Multiplication is really just repeated addition. In multiplication, the 2 terms are the number being added and the number of times it is added. In this case, the number being added is -8 and it is being added 4 times. Therefore, the multiplication expression must be -8 x 4.
-32 that's the answer
Step-by-step explanation:
that's easy
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
A)
x + 7 = 11
B)
X-7 = 11
9
C)
x + 7 = -11
D)
X - 7 = -1
Answers
Answer:
The number of miles Jill ran is the number of miles Sue ran (11) minus the number of miles Sue ran more than Jill (7).
So far, x=11-7.
Reorder the equation. Add 7 to both sides.
x + 7 = 11.
So, the correct equation is A.
:)
A) x + 7 = 11
Jill runs x amount of miles and Sue runs x miles plus 7 miles.
What are the example of discount?
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Answer:
The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.
Answer:
the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount
3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?
Answers
Answer:
Hi!
12x = 81.84
x = 6.82
6.82 dollars every week
jay has a rare baseball card collection. he currently owns 10 baseball cards. each month, he purchases a new card for his collection. write a model to represent the number of cards in jays collection after n months
Answers
Answer:
y=n+10
explanation
he adds a new baseball card every month and he starts off with 10
say its been 3 months since he started
3(months)+10 (that he already had)
he now has 13 cards.