What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answers
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
Related Questions
HELPP ME OOOO ???
Jendbshshshsbbsbdbsnsmznbs slaizgnsmshxfs sucks skzgxs smudge nzjzdcd
Answers
Answer:
5 = k2
k = 2.5
happy learning
help meee plzzz
help me
Answers
Answer:
I only know the second one sooorrry
if you say its classification so that type of traingle is obtuse triangle
Step-by-step explanation:
Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?
Answers
Answer:
A'(-2, 2)B'(-2, 1)C'(-1, 1)Step-by-step explanation:
For scale factor k and center of dilation (p, q), the transformation is ...
(x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)
For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...
(x, y) ⇒ (1/4x -9/4, 1/4y +9/4)
Then the preimage points are dilated to ...
A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)
B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)
C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)
I need help. I don't even know where to start, or what to do. Can someone explain?
Answers
Answer:
You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)
Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.
For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.
solve the equation.
1/2x^2=32
Answers
Answer:
x = ± 8
Step-by-step explanation:
[tex]\dfrac{1}{2}x^{2}=32[/tex]
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
the reciprocal of 11/12
Answers
Answer:
12/11
Step-by-step explanation:
just turn it around
How it’s the answer:
I agree just turn it around
simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x
Answers
Answer:
36a and 2x-3.that is the answer
Zachai finishes the level in 154 seconds. how many bonus points did Zachai earn.
Answers
Answer:
154 bonus points.
Step-by-step explanation:
factorise
3a^2+8a+4
someone help
Answers
Answer:
(3a+2) (a+2)
Step-by-step explanation:
3a²+8a+4
ur sum is 8
ur product is 12
6x2 = 12
6+2=8
3a²+6a+2a+4
3a(a+2)+2(a+2)
(3a+2) (a+2)
+ is determined by the + in the problem
Next think of a number that will multiply to get 4 and add to get 8 (this is multiplied by 3)
The answer is:
(3a + 2) (a + 2)
To check the work expand it to find you get the original function again
37,162 Divided by 10 to the third power equals what
Answers
Answer:
37.162
Step-by-step explanation:
We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162
Yall i need help asap! please help me.
Answers
Refer the attachment please
Hope it helps
Best of luck
Consider the following proportion:
2
7
=
12
x
Use cross products to write the equation: 2x = 84.
What is the value of x?
Answers
Answer:
x=42
Step-by-step explanation:
divided by 2 equals 42 first you have to dive x by 2 and do the same for 80
please help i will make you brainliest
three step equations
Answers
Answer:
6:
x= 6(y−2)/5
8:a=−(b+c+4)
b=−(a+c+4)
Step-by-step explanation:
PLS HELP RN ASAP!!!!
Answers
Answer:
3b
Step-by-step explanation:
3.
Use the quadratic function to predict f(x) if x equals 8.
f(x) = 25x^2 − 28x + 585
A. f(8) = 2201
B. f(8) = 2679
C. f(8) = 1614
D. f(8) = 1961
Answers
Answer:
D. f(8) = 1961
Step-by-step explanation:
i know the answer it is i think
To predict f(x) when x equals 8 we simply substitute.
So f(x) = 25x2 28x + 585
f(8) = 25 (8)^2 - 28 (8) + 585
f(8) = 25 * 64 - 224 + 585
f(8) = 1600 - 224 + 585 = 1961
Hencse f(8) = 1961
Hloo friend^_^..___
Q= f(x) = 25x2 − 28x + 585
Solution
________
f(8) = 25*(8)^2 - 28*8 + 585
= 25*64 - 224 + 585
= 1600 - 224 + 585
= 2185-224
= 1961 Ans...
So the correct ans is f(8) = 1961...
I HOPE ITS HELP U MY FRIEND..^_^
BE BRAINLY..
guys i NEED your help if i cant answer this im DEAD ill give you 100 pts AND brainlest PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
The correct answer for this question is answer B
Answer:
B. 1 1/7Step-by-step explanation:
- 9 2/7 - ( - 10 3/7) =- 9 2/7 + 10 3/7 = 10 - 9 + 3/7 - 2/7 = 1 1/7Correct choice is B
Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
Complete each statement.
There are actually __________counties.
The amount of error in Pedro's estimate is____________.
Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.
percent error: ___________%
Answers
Answer:
254 in the first blank
Step-by-step explanation:
There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Given that
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
There are actually 254 counties.
The amount of error in Pedro's estimate is 4.
Now we need to find percent error in Pedro's estimate.
4/254×100
=0.0157×100
=1.574%
Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
To learn more on Percentage click:
#SPJ5
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
Answers
Answer:
letter D
Step-by-step explanation:
it's my guess I think it's correct
Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence
Answers
Answer:
15n - 12
Step-by-step explanation:
18 ----> 3 = 15
3 -15 = -12
A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys.
Answers
Answer:
15 boys
Step-by-step explanation:
Step 1: Set up the equation.
[tex]4x + 3x = 35[/tex]Step 2: Combine like terms.
[tex]7x=35[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]Step 4: Plug in the value of 5 for x in 3x.
[tex]3(5)[/tex] [tex]15[/tex]Therefore, the answer is 15 boys.
Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?
Answers
Answer:
Each friend contributes 8 dollars
Step-by-step explanation:
200 ÷ 25 = 8 dollars
so each friend contributes 8 dollars
Answer:
Each person contributes $8
Step-by-step explanation:
200/25= 8
What is the value of the expression
1/4 (16 + 9)-h
when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5
Answers
1/4(16+9)-2
1/4(20)-2
5-2
3
35,000 is invested at 5% compound interest.What is the interest at the end of three years
Answers
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Solve the Equation [tex]\frac{5}{2}[/tex] · X = 1
Answers
[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]
Answer:
5/2
Step-by-step explanation:
What are the terms in the expression 4 + 9V +6w?
Answers
Answer:
4, 9v, and 6w
Step-by-step explanation:
I'm pretty sure it's right
Evaluate: 5x + 1 when x = 2.
Answers
Answer:
answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
10-(-x)=-5
How do I find out what x is
Answers
Answer:
x=-15
Step-by-step explanation:
10-(-x)=-5
10+x=-5
x=-5-10
Answer:
x = -15
Step-by-step explanation:
A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.
Use the diagram to the right for questions 16 - 20.
MNP ~ SRP
Answers
Answer:
16) 16/3
17.) ength of PM = 20/3
18.) 60
19.) 30
20.) true
Step-by-step explanation:
4/6 = x/8
32/6=x
16/3=x
4/6 = x/10
20/3 = x
i wil make u brainliest
help help help
Answers
Answer:
I can only answer ii.
A=Lxwxh
=6mx3mx4m
=18mx4m
A=40msquared .
A=Lxwxh
40msquared = 6mx3mxh
40msquared =18msquaredxh
40/18msquared=18xh/18msquared
131/3=h.
that's what I thought
Step-by-step explanation:
I think I should first find the area
of the figure.then I will use the area to find the height.
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help
Answers
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.