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
docker41 [41]
3 years ago
11

Find an equation for these points (-5,5) (4,2)

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

\large\boxed{y=-\dfrac{1}{3}x+\dfrac{10}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-5, 5) and (4, 2).

substitute:

m=\dfrac{2-5}{4-(-5)}=\dfrac{-3}{9}=-\dfrac{1}{3}

Put the value os a slope and coordinates of the point (4, 2) to the equation of a line:

2=-\dfrac{1}{3}(4)+b

2=-\dfrac{4}{3}+b             <em>add 4/3 to both sides</em>

2\dfrac{4}{3}=b\to b=3\dfrac{1}{3}\to b=\dfrac{10}{3}

You might be interested in
What does 9 minus x squared equals?
natta225 [31]
9 - x^2
= 3^2 - x^2
= (3+x)(3-x)
3 0
2 years ago
8.7/2=16.5/w what is W
murzikaleks [220]
W=33/8.7
w=3.79
i believe this is the answer
6 0
2 years ago
The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=4
Zina [86]

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And,  p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola.  The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c   where a = -0.25,  b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

Learn more in depth about revenue function problems at brainly.com/question/25623677

#SPJ1

5 0
1 year ago
What is the slope for -3 , -2.5​
weqwewe [10]

Answer:

Is there only one coordinate point? is that all the information you got?

7 0
3 years ago
Plz help me solve this problem i think its a but not sure plz help me...<br><br> look at pic
qaws [65]
It is A hope this help
8 0
3 years ago
Read 2 more answers
Other questions:
  • On the set of axes, draw the graph of the equation y = -(3/4)x + 3.
    15·1 answer
  • A car travels 56.7 miles in a hour. If it continues at the same speed, how far will the car travel in 12 hours?
    5·2 answers
  • Can someone please help me ?
    7·1 answer
  • Ms.simmons needs to feed 13 dogs. Each dog eats 2 wholes and 1 fourths pounds of dog food . How many pounds of dog food does Ms.
    15·1 answer
  • I need to buy a new laptop for my FLVS class, since mine is kind of old. I saw and advertisement on T.V. where it mentioned that
    13·1 answer
  • Create a two step equation that results in<br> the answer being 5.
    6·2 answers
  • Greyson is buying a $40 pair of jeans. He has a coupon for 15% off. He must pay 6% sales tax on
    15·1 answer
  • Can someone help please and thanks
    9·1 answer
  • Write the equation of the line that is perpendicular to 5x + 3y = -21 and
    11·1 answer
  • Help!<br> Central Angles and arc measures
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!