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
slava [35]
3 years ago
10

Draw the graph of the line that is parallel to y−3=1/3(x+2) and goes through the point (1,7).

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Step-by-step explanation:

First find the slope of the given line.

y - 3 = 1/3(x+2)

y - 3 = (1/3)x + 2/3

y = (1/3)x + 2/3 + 3

y = (1/3)x + 11/3

Compare it with

y = mx + c

We get m = 1/3

As the parallel lines have same slope, the slope of the second line will also be m= 1/3

y = mx + c

y = (1/3)x + c

As this line goes through the point (1,7), substitute it in the equation:

7 = (1/3)1 + c

7 = 1/3 + c

c = 7 - 1/3

c = 21-1/3

c = 20/3

The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation

y = mx + c

y = (1/3)x + 20/3

Graph of the equation is shown

You might be interested in
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
Can someone plz help me solved this problem! Need help ASAP! Help me !
lana66690 [7]

Answer:  5, 8

<u>Step-by-step explanation:</u>

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8)  --> 3x + 8

               23 < 3x + 8 < 32

               15 < 3x        < 24          <em> subtracted 8 from all 3 sides</em>

-->             5 <   x        <   8          <em>divided 3 from all 3 sides</em>

 

5 0
3 years ago
Can Someone help me in this?
My name is Ann [436]

Answer:

You should ask your teacher for help and pay attention in class

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A.Sum of integer and its additive inverse is ___________.B.Sum of -22 and -44 is ______________.C.-36 ÷ ( ___)=-9d._________ is
Ede4ka [16]

Answer:

  A. 0

  B. -66

  C. 4

  D. 998

  E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

__

B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

__

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

__

D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

__

E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

4 0
2 years ago
What is slope intercept form?
emmainna [20.7K]

Answer:

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

Hope this helps :)

5 0
1 year ago
Read 2 more answers
Other questions:
  • A paper describes a study of the use of MRI (Magnetic Resonance Imaging) exams in the diagnosis of breast cancer. The purpose of
    7·1 answer
  • What is the simplified from of square root of 6x^16?
    8·1 answer
  • A rectangular athletic field is twice as long as it is wide. If the perimeter of the field is 96, what are it's dimensions?
    9·2 answers
  • Choose the number sentence that shows the distributive property of multiplication over addition.
    14·1 answer
  • A bag contains 5 red marbles , 2 blue marbles, 4 white marbles, and 1 yellow marble. if 2 marbles are chosen in a row , without
    10·1 answer
  • Perform the indicated operations:<br> 2/x-2+x/x+9-x+20/x2+7x-18
    15·1 answer
  • The equation of line r is y= -7/2x + 3. line s is parallel to line r. what is the slope of line s?
    8·1 answer
  • PLZ HELP this is for hw and its due soon
    7·2 answers
  • 2-Bromo-3-methyl pentanoic acid​
    7·1 answer
  • Janet solves this equation
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!