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
horsena [70]
3 years ago
5

Moises is determining the solution to the system of equations that is show below. Equation representing line A: mc018-1.jpg Poin

ts on line B: (3, –12) and (9, –24) Step 1: Determine the slope for B: mc018-2.jpg Step 2: Determine the y-intercept for B: mc018-3.jpg Step 3: Write the equation in slope-intercept form: mc018-4.jpg
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0
Answer:
equation of line is:
y = -2x - 6

Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept

(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c

(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6

Based on the above, the equation of the line is:
y = -2x - 6

Hope this helps :)
You might be interested in
The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers,
Natalija [7]
The answer is 3km as there is 9 secs between it and distance = time/3 and 9/3 =3 so distance =3
8 0
3 years ago
A three course meal includes an appetizer, a main course and a dessert. A restaurant offers 2 kinds of appetizer, four kinds of
Vladimir [108]
The answer is c, I belive
8 0
3 years ago
Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predic
Dvinal [7]
<span><span>1.       </span>So the current population of the town is 15 200 and is growing per year with 2%.
Find the population number after 10 years.
First, let’s find the value of 2%  in decimal form
=> 2/100
=> 0.02

Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population =  18 240
Thus, in 10 years, the town’s population will increase to 18 240.



</span>



3 0
3 years ago
Read 2 more answers
Consider the given function and the given interval. f\(x\) = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave
Jet001 [13]

a. f has an average value on [5, 11] of

f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4

b. The mean value theorem guarantees the existence of c\in(5,11) such that f(c)=f_{\rm ave}. This happens for

(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5

8 0
4 years ago
Larry is one-third as old as Jan. The sum of their ages is 132.
Setler [38]

Answer:

Larry is 33 years old

Step-by-step explanation:

Hope this helped!!

3 0
3 years ago
Other questions:
  • Determine if the equation 1/3×y represents a proportional relationship​
    14·1 answer
  • The time it takes to set up a circus tent varies inversely with the number E of elephants used. If 4 elephants can set up a tent
    11·1 answer
  • Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (−4, −1), (2, 3
    8·1 answer
  • Nancy was trying to save up $355.At her job she made $7 an hour and she worked 34 hours a week.After paying for her food and oth
    13·1 answer
  • Please I need the answer according to steps
    13·1 answer
  • Solve for x (round to the nearest thousandth)
    14·1 answer
  • The world's largest pizza is 131 feet in diameter. What is the<br> area of this gigantic ple?
    13·2 answers
  • Need solved asap somebody
    13·1 answer
  • Can someone please explain this to me step by step since I have a test next Monday and I don’t understand this problem that well
    7·1 answer
  • Grass the line with the given slope and y-intercept. slope = -4, y-intercept =-5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!