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
Papessa [141]
2 years ago
15

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Mathematics
1 answer:
Darya [45]2 years ago
5 0

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

<u>Slope</u>:

The slope of the line can be determined using the formula,

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

Substituting the points (-3,2) and (3,2), we get;

m=\frac{2-4}{3+3}

m=\frac{-1}{3}

Thus, the slope of the line is m=\frac{-1}{3}

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the values, we have;

y=-\frac{1}{3}x+3

Thus, the equation of the line is y=-\frac{1}{3}x+3

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

x=5-5=0

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation y=-\frac{1}{3}x+3, we have;

y=-\frac{1}{3}(0)+3

y=3

Thus, for 2010 the value of y is 3.

You might be interested in
A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is t
Georgia [21]

Answer:

Around 401 students would prefer chocolate milk.

Step-by-step explanation:

500/30=16.66667...

24*16.7=400.8

you cant have an eighth of a vote so you round to 401

4 0
2 years ago
Dan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 53.96
Alja [10]
53.96+0.17x =57.96+0.12x
0.17x-0.12x=57.96-53.96
0.05x=4.00
x=80 mi
5 0
2 years ago
PLS HELP I WILL BRAINLIEST 15 PTS
Mnenie [13.5K]

Answer:17 dollars per hour per hour

Step-by-step explanation:

Hope this helps

5 0
2 years ago
Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she
SCORPION-xisa [38]

Answer:

She will be paid $684

6 0
2 years ago
four fifth of terrences text messages are to his friends. one half of those messages are to his friend bianca. Terrence sends 12
miv72 [106K]
60 text messages is your answer

8 0
3 years ago
Read 2 more answers
Other questions:
  • Factor 15y^4+26y^3+7y^2
    8·1 answer
  • For a linear model with a dependent variable Y and two independent variables X1 and X2, write out[1] the objective functions to
    8·1 answer
  • Given (1,-5) and (5,-3), what is the midpoint of the two points?
    15·1 answer
  • Pls help me with this question no. 14 asap. will mark brainliest ​
    6·1 answer
  • 3.201 in expanded form
    10·2 answers
  • The school that Maria goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 adult t
    15·1 answer
  • What is the next number in the pattern <br> 2,4,8,16,32....
    8·2 answers
  • Help me! i need this answer
    10·1 answer
  • ?????????????????????????
    8·1 answer
  • How many times does 4 go into 55<br>​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!