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Please help.

Write the linear inequality shown in the graph.
Please explain how you got your answer.
A. y > or = 3x +4
B. y < or = 3x + 4
C. y < or = 3x - 4
D. y > or = 3x - 4

Please help. Write the linear inequality shown in the graph. Please explain how you-example-1
User Nsgulliver
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1 Answer

6 votes

Answer:

D. y > or = 3x - 4

Explanation:

Looking at the graph, we know the y intercept, or where the graph crosses the y axis, is -4.

We can find the slope of the line from 2 points (0,-4) and (2,2)

The slope is given by

m = (y2-y1)/(x2-x1)

= (2--4)/(2-0)

= (2+4)/(2-0)

=6/2

=3


Using the slope intercept form for the line, y=mx+b

y = 3x+-4

y = 3x-4

The graph is shaded above the line so y is greater than the line, and the line is solid so y is also equal to the line

y ≥3x-4

User Sybohy
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