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
lyudmila [28]
3 years ago
11

How to I make 3x+6y=18 into y=my+b

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:


Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    3*x+6*y-(18)=0


Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :


  3x + 6y - 18  =   3 • (x + 2y - 6)


Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0


This equation has no solution.

A a non-zero constant never equals zero.


Equation of a Straight Line

2.2     Solve   x+2y-6  = 0


Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).


"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.


In this formula :


y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis


The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-6  = 0 and calculate its properties


Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000


 y-intercept = 6/2  =  3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000


 x-intercept = 6/1  =  6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)


   Slope     = -1.000/2.000 = -0.500

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3


You might be interested in
Negative fractions on the number line
Elodia [21]

Answer:

-1.2

Step-by-step explanation:

each mark is .20 so yeah

Pls mark brainliest!

3 0
2 years ago
Turn these phrases into algebraic expressions (PLEASE HELP)
Aleks [24]
2x-7
7x+2
x-9
4x+9
4x-9
x/4
8 0
2 years ago
Read 2 more answers
Kristy makes 5$ per hour babysitting and 12$ per hour giving music lessons. One weekend, she worked a total of 18 hours and made
MariettaO [177]
Let Karen works x hours baby sitting
So, she worked (18-x) hours giving music lessons
So,
According to question
5x + 12(18-x)=139
This gives
7*x=77
x=11
So,
<span>Karen worked <em>11 hours baby sitting </em>and (18-11)=7 hours giving music lessons</span>
3 0
3 years ago
Graph a line that contains the point (6, -5) and has a slope of -2/3.
Lapatulllka [165]

We know that the equation of the line is in the form y=-\frac{2}{3}x+b. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1

Hence, the equation of the line is y=-\frac{2}{3}x-1, and its graph looks something like follows.

8 0
1 year ago
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers r
zhuklara [117]

Answer:

(B)

The elevation of the chameleon

Step-by-step explanation:

the fly is above the chameleon, so it's elevation should be represented by a positive number

5 0
2 years ago
Other questions:
  • Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour.use the
    13·1 answer
  • What is the sum of two consecutive integers is less than 83. Find the larger of the two integers
    15·1 answer
  • Compare 9 × (11 – 4) and 3 × (11 – 4). A. 9 × (11 – 4) is three times as much as 3 × (11 – 4). B. 9 × (11 – 4) is nine times as
    7·2 answers
  • Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x –
    11·2 answers
  • a cube has a surface area of 150 square inches what is the area , in square inches, of one face of the cube justify your answer
    5·2 answers
  • What effect will replacing x with (x+7) have on the graph of the equation y=x^2?
    9·1 answer
  • Troy and Lazetta are solving the following word problem. Rosalie's cat weights 9.8 pounds and her dog weighs 25.4 pounds. What i
    15·1 answer
  • What is the exact circumference of a circle with a radius of 15 cm? Answers: A. 60cm B. 30cm C. 15cm D. 10cm
    15·1 answer
  • Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
    10·2 answers
  • Please help a girl out :)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!