Choose the equation for the line in slope-intercept form.

Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (4,-1), (0,-3) and (-4,-5).
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3

Answers

Answer 1
Okay, so first we need to work out the gradient, m.

To do this use the formula change in y/ change in x

So If we pick two points, say 0,-3 and -4,-5 the change in y is from -3 to -5 so it is -2 and the change in x is from 0 to -4 so is taking away 4 so the gradient is -2/-4 which is 1/2.

Then we need to work out the y intercept, c.

Substitute the gradient into y= Mx+ c to get y = 1/2 x + c. Use a point to substitute in and solve:

Eg 4, -1 —> -1 = 1/2 x 4 + c
Then -1 = 2 + c
Then -3 = c
So you get the end equation of

Y = 1/2x -3

Let me know if you have any questions

Related Questions

a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle

Answers

Answer:

u got zoom class in session ??

Step-by-step explanation:

Evaluate 4(3-1)² i need help with this

Answers

The answer to the equation 4 ( 3 - 1 )^2 is 16

Answer:

16

Step-by-step explanation:

You can use PEMDAS to answer this question.

So first you would do whats inside the parenthesis.

4(3-1)².

3-1 is 2 so 2 would be in the parenthesis. Next you have to do exponets.

4(2)².

2² is 4. So now you just have a multiplication problem left.

4(4) which is 16.

A number whose value is less than 0
__________________________

Answers

Answer: a negative

Step-by-step explanation:

Positive numbers are numbers from 0 and up negative numbers are numbers with a subtraction sign infront of them like -2 or -6

Answer:

A negative

Step-by-step explanation:

Any number below 0

Ex: -1,-2,-3,-4, etc...

1 week away from the election. Who do you think wins? Why do you think so? Who do you want to win? Who is better for the country? Why??? (Trump 2020)

Answers

Answer:

I think that Trump will win because 4 years ago no one thought he was going to but he did anyway

I want none of them to win because I dislike both of them.

I think Joe Biden is going to win bcz most people prefer him over trump and he’s winning rn

slope=-2 y intercept=0

Answers

Answer:

Step-by-step explanation:

I am assuming you want an equation

y=mx + b

m is the slope, and b is the y intercept, so just fill in the info

y=-2x + 0

because it is just + 0, you can simply write:

y=-2x

Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.

Someone please help with this !!!!

Answers

Answer:

x = 132

Step-by-step explanation:

The 2 angles shown are alternate exterior angles and are congruent, thus

x = 132

Alyssa can do a job in 16
minutes. Adrian will do the
same work in 8 minutes. How
many minutes would it take
Alyssa and Adrian to do the
same job together?

Answers

Answer:

i think it would take them 8 minutes depending on how well they get along.

Find the midpoint of each line segment.

Answers

Answer:

It would be 7.07 approximately.

Which property of real numbers is shown bellow sqrt 6x +0 = sqrt 6x x is a real number
A. Identity property of multiplication B.commutative property of addition
C. Distributive property
D. Identity property of addition

Answers

Answer:

Option: D

Step-by-step explanation:

Took the Test

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

The Value of the reciprocal. The top one.

Step-by-step explanation:

As you notice the number Doubles everytime making it 2x more every time.

Factorise (2x+3y)²-(x-4y)²​

Answers

Answer:

(3x−y)(x+7y)

Step-by-step explanation:

Factor (2x+3y)^2−(x−4y)^2

3x^2+20xy−7y^2

=(3x−y)(x+7y)

Answer:

(3x - y)(x + 7y)

Step-by-step explanation:

Given

(2x + 3y)² - (x - 4y)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = 2x + 3y and b = x - 4y , then

(2x + 3y + x - 4y)(2x + 3y - (x - 4y))

= (3x - y)(2x + 3y - x + 4y) = (3x - y)(x + 7y)

Thus

(2x + 3y)² - (x - 4y)² = (3x - y)(x + 7y) ← in factored form

Write the equation of the parabola in vertex form.
vertex (3,3), point (1, -9)
f(x) =
Can someone help me ASAP??

Answers

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

Select the scenario that is classified as a permutation without repetition
A : a teacher choosing students for classroom jobs like line leader
B: a math test with multiple choice questions
C: drawing a single card from a deck
D: runners finishing the Boston marathon

Answers

Answer:

A

Step-by-step explanation:

aA thought you ought to know

It’s a reference

Solve this problem. 98-5^2-35= *
someone help plz

Answers

Answer:

28

Step-by-step explanation:

used a calculator

Morgan can type 18 words
per minute. How long will it
take her to type 3
paragraphs? (Each
paragraph has 30 words)

Answers

Answer: it will take 5 minutes.

It will take 5 minutes

The graph shows how the mass of copper
changes as the volume of the element changes
and the density remains constant.
*picture*
Which of these bests represents the rate of the
change in the mass of copper with respect to the
volume?
a.4/33 g/cm^3
b.19/41 g/cm^3
c.8 1/4 g/cm^3
d.4 4/7 g/cm^3

Answers

Answer: 8 1/4g/cm³

Step-by-step explanation:

Given the graph :

The rate of change in the mass of copper with respect to volume :

To obtain this, we find the slope or gradient of the graph:

Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)

Drawing a right angled triangle on the anybpart of the line of best fit:

y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2

(y2 - y1) / (x2 - x1)

= (40 -16) / (4.75 - 2)

= 24 / 2.75

= 2400/275

= 8.727 g/cm^3

Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³

Answer:

c

Step-by-step explanation:

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

Answers

It’s most likely to be 3

Mike, Larry, and Daryl are brothers that own a shoe store. For every pair of shoes sold, they earn $18.00 in profits. At the end of the day, they split the profits equally among them. Which of the following equations can be used to find P, the profit each brother earns if n pairs of shoes are sold in one day?

Answers

Answer:

The answer is $18n/3= p

An airline tracks the time an airplane is parked unloading and loading passengers. The line plot displays the amount of time a number of airplanes were parked on one day. If the total amount of time were divided equally among all the airplanes, how long would each airplane have been parked? Amount of Time Planes are Parked A. B. C. D.

Answers

I think it is C not sure or it’s A

Answer:

It was A 4/7

Step-by-step explanation:

7th grade math , Help on every single problem. I’ll give brainliest

Answers

Answer:

grab ur calculator for these. when dividing, they will end up in decimal format. for it to be a precentage, take that number and multiply by 100 to get a percent.

To convert back to fractions, divide the number by 100

eg 7%

7/100

that's the fraction. (decimals is just the full dividing)

Now answers,

1.30   2.52   3.85   4.8   5.80   6.1   7.63   8.10   9.0.15   10.0.48   11.0.6   12.0.5  13.37/50   14.9/25   15.7/10   16.9/100   17.0.46   18.0.05   19.0.2   20.0.02   21.9/10   22.1/4   23.7/100   24.47/100

I can't garantee that i fully simplified everything, just do a double check

If l is parallel to m, find the value of each missing variable.

Answers

Answer:

x = 26; l = 137; m = 137

Step-by-step explanation:

If the lines are parallel, that means the measurements are too. As such, equal the two expressions together

5x + 7 = 8x - 71

add 71 to both sides

5x + 7 + 71 = 8x - 71 + 71

-71 and +71 cancel each other out

5x + 78 = 8x

subtract 5x from both sides

5x - 5x + 78 = 8x - 5x

5x - 5x cancels each other out

78 = 3x

divide both sides by 3

3x ÷ 3 = 1x which can also be written as just x

78 ÷ 3 = x

26 = x

plug in this x value into both expressions to find variables l and m

l:

5(26) + 7

130 + 7

137

m:

8(26) - 71

208 - 71

137

Add the following rational number.
-2/3+5/6

Answers

Answer:

1/6

Step-by-step explanation:

-2/3 = -4/6

so, -4/6 + 5/6 = 1/6

First you should make sure the denominators are the same


-2/3 = -4/6

Now add

-4/6 + 5/6 + 1/5


Hope this helped :)

Question 3 (20 points)
Factor:
36x2 - 81y2

(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)

Answers

It is the last answer choice (6x-9y)(6x+9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 36x² - 81y²

Factorize the expression, then we have

⇒ 36x² - 81y²

⇒ (6x)² - (9y)²

⇒ (6x - 9y)(6x + 9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increase in the fee, the average number of students reduces by 1.

Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

Answers

Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

Answer:

[tex]c(x) = - 1(x - 7.5)^{2} + 222.25[/tex]

I apologize if this is the wrong format. It's also extremely complicated to explain.

the slope of (19,-16) (-7,-15)

Answers

Answer:

Slope is y= -1/26x-15.25

Step-by-step explanation:

Put the two points on a graph, and count the rise over run, which is rise=-1, and run=26. Then you just find the y-intercept, and you have your equation.

I think the answer is .22857
Sorry I’m not sure

can somebody help me with this problem!? i need help ahh

Answers

for these kinds of problems the outside angle always equals the opposite 2. meaning angle x=64+70 which is 134 degrees. you can double check this because all triangles equal 180 degrees. meaning that the last angle in the triangle is 46. 46+70+64=180.

so your answer is 134.

hope this helps :)

Answer:

134 Degrees.

Step-by-step explanation:

Lets figure out the third angle (y) in the triangle first.

70 + 64 + y = 180

134  + y = 180

y = 46

We now know that 46 is our third angle. Therefore, we can subtract 46 (y) from 180 (the total between x and the third angle) to get our final answer. 134 Degrees.

ANSWER QUICK
PLEASE GIVE A CORRECT ANSWER THO

Answers

Answer:

c?

Step-by-step explanation:

Answer: that is a function beause it passes the vertical line test.

Step-by-step explanation: pls mark brainiest thankss

5,977,243 x 457,766 pls answer

Answers

Answer:

a number

Step-by-step explanation:

Consider matrix A.

What matrix results from the elementary row operations represented by -2R2 + 3Rı?
Enter your answer by filling in the boxes.

Answers

I misread the question. Had the elementary row operations been represented by -3R2 + 4R1, then the answer would have been,

-36   23   -1

8       -1     3

hopefully this will still help some of you

What is the approximate area of the circle shown below ? 17cm

Answers

Answer:

It's B, 908cm^2

Step-by-step explanation:

A=3.14xr^2.

Answer:

The answer is B, 908cm²

Step-by-step explanation:

Just Completed This quiz

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