Respuesta :

Answer:

[tex]Slope=\frac{4.000}{2.000} =2.000[/tex]

[tex]x-intercept=\frac{2}{2} =1[/tex]

[tex]y-intercept=-\frac{2}{1} =-2.00000[/tex]

Step-by-step explanation:

Rearrange:

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

                    3*y-6*x-(-6)=0

Step 1: Pulling out like terms

1.1     Pull out like factors :

  3y - 6x + 6  =   3 • (y - 2x + 2)

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   y-2x+2  = 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-2x+2  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -2/1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = -2/1  = -2.00000  

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 = 2/2  =  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 -2.000 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 - (-2.000) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  4.000/2.000 =  2.000  

Geometric figure: Straight Line

 Slope = 4.000/2.000 = 2.000

 x-intercept = 2/2 = 1

 y-intercept = -2/1 = -2.00000

moistscissors

Answer:

y=−2x+2

Step-by-step explanation:

  1. The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept. y = m x + b
  2. Rewrite in slope-intercept form.
  3. Subtract 6 x from both sides of the equation. 3 y = 6 − 6 x
  4. Divide each term by 3 and simplify.
  5. Divide each term in 3 y = 6 − 6 x by 3 . 3 y 3 = 6 3 + − 6 x 3 Cancel the common factor of 3 .
  6. Cancel the common factor. 3 y 3 = 6 3 + − 6 x 3 Divide y by 1 . y = 6 3 + − 6 x 3 Simplify 6 3 + − 6 x 3 .
  7. y = 6 3 + − 6 x 3 Simplify 6 3 + − 6 x 3 .
  8. Simplify each term.
  9. Divide 6 by 3 . y = 2 + − 6 x 3 Cancel the common factor of − 6 and 3 .
  10. Factor 3 out of − 6 x . y = 2 + 3 ( − 2 x ) 3 Cancel the common factors. Tap for more steps... y = 2 − 2 x
  11. Factor 3 out of 3 . y = 2 + 3 ( − 2 x ) 3 ( 1 ) Cancel the common factor. y = 2 + 3 ( − 2 x ) 3 ⋅ 1 Rewrite the expression. y = 2 + − 2 x 1 Divide − 2 x by 1 . y = 2 − 2 x
  12. y = 2 − 2 x Reorder 2 and − 2 x .
  13. y = − 2 x + 2

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