nbkarinnydasilva nbkarinnydasilva
  • 24-07-2020
  • Mathematics
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Which linear inequality is represented by the graph?

Which linear inequality is represented by the graph class=

Respuesta :

altavistard
altavistard altavistard
  • 24-07-2020

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

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