Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y= 1/3x-2/3

Respuesta :

substitute y
0= 1/3x - 2/3

multiply both sides
0= x-2

move the variable to the left
-x= -2
solution: x= 2

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Answer:

  (2, 0), (0, -2/3)

Step-by-step explanation:

The equation is given in slope-intercept form, so the constant in the equation (-2/3) is the y-intercept. Its ordered pair is (0, -2/3).

Setting y=0 and solving for x gives the x-intercept.

  0 = 1/3x -2/3

  0 = x -2

  2 = x . . . . the x-intercept is 2.

As an ordered pair, the x-intercept is (2, 0).

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