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[tex]\boxed{Please\;answer\;the\;following...}[/tex]
[tex]What\;is\;the\;slope,\;y\;intercept\;and\;equation\;for\;the\;following?\\\\1...\;2x + y = 2\\2...4x + y = -5\\3...4x + 2y = 6\\4...-6x + 3y = -9\\5...x + 3y = 6\\\\-EQUATIONS\;IN\;SLOPE\;INTERCEPT-[/tex]

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christieleea1234
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tramserran

Answer:  see below

Step-by-step explanation:

Slope-Intercept form is: y = mx + b   where

  • m is the slope
  • b is the y-intercept

1) 2x + y = 2

          y = -2x + 2          Subtracted 2x from both sides

                 ↓      ↓

         m= -2       b= 2

Slope (m) = -2          y-intercept (b) = 2             Equation: y = -2x + 2

2) 4x + y = -5

           y = -4x - 5          Subtracted 4x from both sides

                  ↓     ↓

          m= -4      b= -5

Slope (m) = -4          y-intercept (b) = -5            Equation: y = -4x - 5

3) 4x + 2y = 6

           2y = -4x + 6          Subtracted 4x from both sides

             y = -2x + 3          Divided 2 from both sides

                    ↓     ↓

            m= -2      b= 3

Slope (m) = -2          y-intercept (b) = 3             Equation: y = -2x + 3

4) -6x + 3y = -9

            3y = 6x - 9          Added 6x to both sides

              y = 2x - 3          Divided 3 from both sides

                    ↓    ↓

             m= 2     b= -3

Slope (m) = 2          y-intercept (b) = -3             Equation: y = 2x - 3

5)   x + 3y = 6

           3y = -x + 6                 Subtracted x from both sides

              y = (-1/3)x + 2          Divided 3 from both sides

                     ↓          ↓

            m= -1/3         b= 2

Slope (m) = -1/3          y-intercept (b) = 2             Equation: y = (-1/3)x + 2