1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
attashe74 [19]
3 years ago
15

Which equation represents the graphed function?

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Solution:

we have been asked to find

Which equation represents the graphed function?

As we can see in the graph, the line is passing through the point (2,0) and (0,-3).

As we know the equation of the passing through two points is given by the formula

(y-y_1)=m(x-x_1)\\
\\
m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2}  \\

So the equation of the line will be

y-0=\frac{3}{2}(x-2)\\
\\
y= \frac{3}{2}x-3\\
\\

lisabon 2012 [21]3 years ago
5 0

The equation which represents the graphed function is \fbox{\begin\\\ \math y=\dfrac{3x}{2}-3\\\end{minispace}}.

Further explanation:

From the given graph of a function it is observed that the curve intersects the x-axis at one point and intersects the y-axis at one point.

This implies that there is one x-intercept and one y-intercept.

x-intercept is defined as a point where the curve intersects the x-axis.

y-intercept is defined as a point where the curve intersects the y-axis.

From the given graph it is observed that the point where the curve intersects the x-axis is (2,0) and the point where the curve intersects the y-axis is (0,-3).

Therefore, the line passes through the points (2,0) and (0,-3).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

The point (x_{1},y_{1}) and (x_{2},y_{2}) for the given line are (2,0) and (0,-3).

The value of slope of the given line is calculated as follows:

\begin{aligned}m&=\dfrac{-3-0}{0-2}\\&=\dfrac{-3}{-2}\\&=\dfrac{3}{2}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{3}{2}\\\end{minispace}}.

The slope intercept form of a line is as follows:

\fbox{\begin\\\ \math y=mx+c\\\end{minispace}}      (1)

In the above equation m represents the slope and c represents the y-intercept.

From the graph it is observed that the value of c is -3.

To obtain the equation of the line substitute -3 for c and \dfrac{3}{2} for m in equation (1).

y=\dfrac{3}{2}x-3

Therefore, the equation which represents the line in the given graph is \fbox{\begin\\\ \math y=\dfrac{3}{2}x-3\\\end{minispace}}.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445  

Answer details

Grade: High school

Subject: Mathematics  

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, (2,0), (0,-3), point slope form.

You might be interested in
 helloo , i need help with this problem it says write this number (797,000,000,000+ 619,000,000+132)in standard form, please h
inysia [295]

Okay its 797,619,000,132

They all have different place values

4 0
2 years ago
Suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially?
nalin [4]

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

brain less

8 0
2 years ago
Bonita said that the product of 5/6 times 1 2/3= 7/3. How can you tell that her answer is wrong?
Masja [62]

Answer:

B. 5/6 of a number cannot be greater than the number.

7/3 = 2 1/3 > 1 2/3

6 0
3 years ago
Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?"
fredd [130]
The answer is, A. 10(x - 12)
5 0
3 years ago
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposi
fenix001 [56]

Answer:

300+200

Step-by-step explanation:

did not give a equation

6 0
2 years ago
Read 2 more answers
Other questions:
  • If sin y = cos ( y + 2° )
    14·1 answer
  • Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer
    10·2 answers
  • 2) Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. He uses 1/3 pound of 10
    9·1 answer
  • What is the value of x in the equation 1/2x-3/4=3/8-5/8x?
    12·2 answers
  • Plz help will give brainliest
    15·1 answer
  • If 5 bags weighs the same as 3 blocks how many blocks will 4 bags weigh
    5·2 answers
  • PYTHAGORAS<br> work out the side of b.<br> give your answers to one decimal place
    13·1 answer
  • What is the arc length of an arc with radius 14 in and central angle 66^o? Show all calculations that lead to the answer and inc
    11·1 answer
  • Solve 2x2 - 8x = -7.<br> -2+2<br> -2+212<br> 24 v2<br> 2t<br> 2+2<br> 2
    8·2 answers
  • A colony of ants carried away 16 of your muffins. That was 4/7 of all of them! With how many did you start?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!