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
kifflom [539]
3 years ago
6

Which equation does the graph of the systems of equations solve?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

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

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

You might be interested in
Which is the solution to <br> 2<br> x<br> −<br> 6<br> +<br> 4<br> =<br> 14<br> ?
Kaylis [27]

Answer:

x=8

Step-by-step explanation:

2x-6+4=14

Combine like terms

2x-2=14

Add 2

2x=16

Divide

x=8

Checking work)

2(8)-2=14

16-2=14

14=14

8 0
3 years ago
Read 2 more answers
Last month, Luiza's bank statement said that she had money in her account. Her bank balance was 109.32 rubles. This month, Luiza
Zolol [24]

Answer:

a- luiza overdrew her account by 87.12 rubles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The formula for the circumference of a circle is C - 2 xer. Determine the circumference when the radius r is 10 cm.
Kaylis [27]
The correct answer is none other than B. I think
4 0
3 years ago
Studies on the behavioral theory of leadership have received mixed results because​ _____________.
koban [17]
Downward communication strives for higher employee engagement and feedback.
7 0
3 years ago
An airplane takes off with a full tank of 40,000 gallons of fuel and flies at an average speed of 550 miles per hour. After 8 ho
vivado [14]
The answer is 9,235 because 14,000 - 4,875 is 9,235
8 0
3 years ago
Other questions:
  • Which statement describes the translation of . y= -1/2(x-2) ^2 from standard position? A) Moved up and to the right. B) Moved up
    8·2 answers
  • If John is driving 70 mi/hr and Jim is driving 50 ft/min, who is driving faster?
    14·1 answer
  • HELP PLZ ASAP!!! I will attach the work below once this is posted.
    10·1 answer
  • IRGENT PLEASE HELP ASAP!!
    13·1 answer
  • Find the ratio of the following to its lowest term with whole solution
    5·2 answers
  • 7m-5m-6<br> Simplify the equation
    5·2 answers
  • To the nearest whole degree, what angle measure has a sine of 0.9762
    15·1 answer
  • At the beginning of her mathematics class Mrs. Reno gives a warm up problem. She says, "I am thinking of a number such as 6 less
    11·2 answers
  • Somebody please help ASAP!!!
    15·2 answers
  • Use square ABCD for this problem<br><br> IF AC=26,find BC.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!