Which linear inequality is represented by the graph?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

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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