Question

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

Answer 1

The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

How to write an inequality in slope intercept form?

From the attached graph, we see that the boundary line passes through the points (0,-2) and (1,1), and as such the equation of the boundary line is gotten from the general formula;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Thus, we have;

(y + 2)/(x - 0) = (1 + 2)/(1 - 0)

(y + 2)/x = 3

y + 2 = 3x

y = 3x - 2

Now, the boundary line is a solid line and the shaded area lies above the boundary line, therefore the sign of inequality must be ≥.

The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

Read more about Inequality in slope intercept form at; brainly.com/question/23884378

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