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mr Goodwill [35]
3 years ago
14

(-2, 1/2), (1, -2/3) Find the equation of the line​

Mathematics
1 answer:
Luda [366]3 years ago
4 0

9514 1404 393

Answer:

  7x +18y = -5

Step-by-step explanation:

The slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18

The y-intercept is ...

  b = y -mx

  b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18

Then the slope-intercept form of the equation is ...

  y = -7/18x -5/18

Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...

  7x +18y = -5

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