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  • 12-12-2019
  • Mathematics
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Find the slope and y intercept for the problem 4x+6y=270

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 12-12-2019

Answer:

[tex]\displaystyle y-intercept: [0, 45] \\ -\frac{2}{3} = m[/tex]

Step-by-step explanation:

y-intercept → Plug 0 in for x to get 45 for y

4x + 6y = 270

- 4x - 4x

______________

[tex]\displaystyle \frac{6y}{6} = \frac{-4x + 270}{6} \\ \\ y = -\frac{2}{3}x + 45[/tex]

In the Slope-Intercept Formula, [tex]\displaystyle y = mx + b,[/tex]the rate of change [slope] is represented by m, which in this case is −⅔.

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