Which equation matches the graph?

Answer:

Option C): f(x) = 3x - 4.

Step-by-step Explanation:

A linear function in slope-intercept form is given by f(x) = mx + b where:

We can solve for the slope by using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]

Choose two points from the graph and substitute their values into the slope formula.

[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]

Therefore, the slope of the line is 3.

As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis.  We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.

Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.

We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.

f(x) = mx + b

⇒  2 = 3(2) + b

⇒  2 = 6 + b

⇒  2 - 6 = 6 - 6 + b

⇒  -4 = 0 + b

⇒  - 4 = b

Hence, the value of the y-intercept is: b = 4.

Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.

Linear functions

Linear equations

Slope-intercept form

_______________________________

Learn more about Linear Functions here: https://brainly.com/question/26351470

Learn more about Point-slope form here: https://brainly.com/question/26681302  

Answer:

f(x)=3x-4

Step-by-step explanation:

Find the y -intercept of the line with equation y=4x+6

Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}

Can anyone help me with the problem in the picture?

What is the result of the division?
2x^3-5x*4
—————-
x-3

please answer the question above​

Find the area of this rectangle.
Write your answers in simplest form.

the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.

help me pls /ᐠ｡ꞈ｡ᐟ\​

In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.

Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.)

Linear Equation:
 
In the year 2008, tuition will be ($ )per credit hour.

In the year( ) , tuition will be $317 per credit hour

Which equation does not belong? Explain your reasoning 2x + y = 4 y = -2x + 4 f(x) = -2x + 4 2x + 2y = 4

What is a pair of alternate interior angles?

Negative 1/3 in decimal form

Sarina rounded a number to the nearest whole number and got 7.
which number could be the number Sarina rounded to the nearest whole number?

-3-(-5)What is the answer to this equation

You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years

I WILL MARK BRAINLIST ASAP

Andre opened a bank account. He deposited $135 each month for 5 months. His bank charged him $5 each month to use the account.

How much money is in Andre's account after 5 months?

A.
$675

B.
$650

C.
$115

D.
$130

solve pls brainliest

solve pls brainliest

Question 1 (3 points)
CALCULATOR PERMITTED FOR SUBPART 3
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money
from the sale of cookies is expressed as dollars, d. Which equation represents the
earnings of the bake sale?
Plates of Cookies (p)
1
2
3
4
Earnings (d)
5
10
15
20
HN
o lol
O a
d = p + 5
Oь
d =P
=
5

please help me with this sum​

How would I show my work for this?

HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

(MATH)

I WILL GIVE BRAINILEST! PIC DOWN BELOW!!

Select the correct answer from each drop-down menu.

The slope of line p is___
and the slope of line q is ____

Simplify (−4.5)(−6)(5.4).
i need the answer pls

A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?

I have more question then this one

Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?

PLEASE HELP WITH THIS ONE QUESTION
A 60 cm by 80 cm photo is to be surrounded with a matting of equal width. The photo and matting is to be covered by a 1 m^2 sheet of expensive glass. Find the width of the matting.

Whats the two answers? ( Branliest )

solve for w
6w+2=9w+14
​

The area of manang district is square kilometre is 2,246 find the prime factors of 2246​