Respuesta :

Answer:

-2/3

Step-by-step explanation:

We are given the equation of a line in slope-intercept form:

[tex]y=mx+b[/tex]

where:

  • [tex]m[/tex] = slope
  • [tex]b[/tex] = y-intercept

Now, looking at the given equation:

[tex]y=-\dfrac{2}3x+6[/tex]

We can identify the variable values:

  • [tex]m=-\dfrac{2}3[/tex]
  • [tex]b=6[/tex]

So, we know the following properties about this line:

  • slope = -2/3
  • y-intercept = 6

Answer:

[tex]-\dfrac{2}{3}[/tex]

Step-by-step explanation:

    This equation is given to us in slope-intercept form. This form is y = mx + b, where m is the slope and b is the y-intercept.

         y = mx + b

         y = -2/3x + 6

    The slope of this line is [tex]-\frac{2}{3}[/tex], and it's y-intercept is 6 at (0, 6).

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