Sign In
Ask Question
Gillian Irwin
Mathematics
22 October, 04:03
How to I make 3x+6y=18 into y=my+b
+4
Answers (
1
)
Jenkins
22 October, 04:09
0
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
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“How to I make 3x+6y=18 into y=my+b ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Factor out the coefficient of the variable. 4h-3
Answers (1)
An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meter negative 5 over 32 meter negative 5 over 8 meter
Answers (2)
Lataycia has 188 but she is spending 14 per week.
Answers (1)
For the purpose of purchasing new baseboard and carpet, complete parts a and b below. a. Find the area and perimeter of the room (neglecting doors). b. Identify whether baseboard has to do with area or perimeter and the same with carpet.
Answers (1)
Which transformations could be performed to show that △ABC is similar to △A"B"C"?
Answers (1)
New Questions in Mathematics
If 48 men have ration for 16 days how long will the food last if a reinforcement of 16 men arrived
Answers (1)
Explain how you know wether to choose grams or kilograms when measuring mass. Name an object you would measure each unit.
Answers (1)
16:07:48 marks: Question: 1/20 The graph of which equation would be a circle with a center at (2.3) and a radius of 7? A. (x + 2y = (y - 3) = 7 B. (x - 2) = (y + 3) = 7 C. (x - 2y + (y + 3) 2 = 49 D.
Answers (1)
Samuel wants to estimate what 5843 x. 00243 is. What should his first step be?
Answers (1)
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random.
Answers (1)
Home
»
Mathematics
» How to I make 3x+6y=18 into y=my+b
Sign In
Sign Up
Forgot Password?