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Write the inequality shown by the graph.

O
-6, 4)
17
8
A yz-x+2
C. yz-3x+2
D. y> -3x+2
lo
O
(0.2)
-4
x+4

1 Answer

1 vote

The inequality shown by the graph is A. y ≥ -1/3x + 2.

How to determine the inequality of the graph

From the depiction of the graph, it is clear that the line passed through the points (-6,4) and (0,2). These values can then be used to find the slope. So, the solution for the slope is;

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

= (2 - 4)/(0 - (-6))

= -2 / 6

= -1/3

When we substitute the value of the slope to the linear equation in the form of y = mx + b, where m is the slope, and b is the y-intercept, the resulting value would be;

y = -1/3x + 2.

This can be seen as option A.

Write the inequality shown by the graph. O -6, 4) 17 8 A yz-x+2 C. yz-3x+2 D. y&gt-example-1
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