Graph 4y 12

Graph 4y 12 DEFAULT

Properties of a straight line

Rearrange:

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

                     4*y-(12-12*x)=0 

Step  1  :

Pulling out like terms :

 1.1     Pull out like factors :

   4y - 12 + 12x  =   4 • (y + 3x - 3) 

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

 2.1      Solve :    4   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Equation of a Straight Line

 2.2     Solve   y+3x-3  = 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  y+3x-3  = 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 = 3/1 = 3.00000

Calculate the X-Intercept :

When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000

  x-intercept = 3/3 = 1

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 -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 3.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope = -6.000/2.000 = -3.000

Geometric figure: Straight Line

  1.   Slope = -6.000/2.000 = -3.000
  2.   x-intercept = 3/3 = 1
  3.   y-intercept = 3/1 = 3.00000
Sours: https://www.tiger-algebra.com/drill/4y=12-12x/


Here we will show you how to calculate and provide solutions to math problems related to 4x + 4y = 12.

We will start by calculating and showing you the solution for the x-intercept and y-intercept of 4x + 4y = 12.

Then, we will show you how to get the graph plot coordinates for 4x + 4y = 12 so we can illustrate it on a graph.

Finally, we will solve 4x + 4y = 12 for x and also for y, then calculate and show you the solution for the slope of 4x + 4y = 12.




Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x + 4y = 12
4x + 4(0) = 12
x1 = 3    y1 = 0

Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x + 4y = 12
4(0) + 4y = 12
y2 = 3    x2 = 0




Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x + 4y = 12 as follows:

(x1,y1) and (x2,y2)
(3,0)and (0,3)




Solve for x
To solve for x, we solve the equation so the variable x is by itself on the left side:

4x + 4y = 12
x = 3 - y

Solve for y
To solve for y, we solve the equation so the variable y is by itself on the left side:

4x + 4y = 12
y = 3 - x



Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x + 4y = 12

m = (y2- y1)/(x2- x1)
m = (3 - 0)/(0 - 3)
m = -1

Ax + By = C Calculator
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4x + 4y = 13
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Answers are rounded to the nearest thousandth if necessary. If you want exact answers instead of rounded answers, then keep the fraction answers when you solve the equations instead of converting them to decimal numbers like we did.


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Properties of a straight line

Rearrange:

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

                     5*x-4*y-(12)=0 

Step  1  :

Equation of a Straight Line

 1.1     Solve   5x-4y-12  = 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  5x-4y-12  = 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 = 12/-4 = 3/-1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is 12/5 Our line therefore "cuts" the x axis at x= 2.40000

  x-intercept = 12/5 = 2.40000

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 -0.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.500 - (-3.000) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope = 2.500/2.000 = 1.250

Geometric figure: Straight Line

  1.   Slope = 2.500/2.000 = 1.250
  2.   x-intercept = 12/5 = 2.40000
  3.   y-intercept = 12/-4 = 3/-1 = -3.00000
Sours: https://www.tiger-algebra.com/drill/5x-4y=12/
The point (0,3) lies on the graph of the linear equation 3x+4y=12.

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4y 12 graph

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Thursday Problem example 2x + 4y =12 (Intercept)

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