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Marina CMI [18]
3 years ago
11

Write an inequality, in slope-intercept form, for the graph below. If necessary,

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

y=mx+b

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))

y=\dfrac{-3}{3}(x+3)

y=-1(x+3)

y=-x-3

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

y\geq -x-3

Therefore, the required inequality is y\geq -x-3.

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