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Examine the following table, which represents some points on a line.

x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?


y=−3x−2y is equal to negative 3 x minus 2, , ,

y=3x−2y is equal to 3 x minus 2, , ,

y=−13x−2y is equal to negative 1 third x minus 2, , ,

y=−13x−6y is equal to negative 1 third x minus 6, , ,

y=−3x−6

Respuesta :

sqdancefan

Answer:

  (c)  y = −1/3x −2

Step-by-step explanation:

We notice two things in the table.

  1. y goes up by 1 when x goes down by 3.
  2. y = -2 when x = 0 (this is the y-intercept

__

The slope of the line is ...

  m = (change in y)/(change in x) = +1/-3 = -1/3

Then the slope-intercept equation is ...

  y = mx +b . . . . . . slope m, y-intercept b

  y = -1/3x -2

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