Respuesta :

Answer:

y= 2x-4   ,   y= -1/2x +3    , y= -2/3x+2

Step-by-step explanation:

slope intercept form: y=mx+b

y-2x=-4

add 2x to both sides

y= 2x-4

y-3= -1/2x

add 3 to both sides

y= -1/2x +3

2x+3y=6

subtract 2x from both sides

3y= -2x+6

divide both sides by 3

y= (-2x+6)/3

y= -2/3x+2

NOTES:

Slope-Intercept form is y = mx + b  ; where m is the slope and b is the y-intercept.

To convert an equation into slope-intercept form, solve for y

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Answer: y = 2x - 4

Step-by-step explanation:

y - 2x = -4

  +2x    +2x  

y       = 2x - 4

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Answer: y = [tex]-\frac{1}{2}x[/tex] + 3

Step-by-step explanation:

y - 3 = [tex]-\frac{1}{2}x[/tex]

  +3          +3  

y       = [tex]-\frac{1}{2}x[/tex] + 3

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Answer: y = [tex]-\frac{2}{3}x[/tex] + 2

Step-by-step explanation:

2x + 3y = 6

-2x         -2x  

        3y = -2x + 6

        ÷3    ÷3  ÷3  

          y = [tex]-\frac{2}{3}x[/tex] + 2