Answer:
Step-by-step explanation:
Both lines in the given <u>system of inequalities</u> are linear equations.
<u>Slope-intercept form of a linear equation</u>: y = mx + b
(where m is the slope and b is the y-intercept)
<u>Positive slope (m)</u>: as x increases, y increases.
<u>Negative slope (-m)</u>: as x increases, y decreases.
When <u>graphing inequalities</u>:
- < or > : dashed lines
- ≤ or ≥ : solid line
- < or ≤ : shading under the line
- > or ≥ : shading above the line
The <u>inequality</u> represented by the blue line has a <u>positive slope</u> and shading <u>below</u> the line.
⇒ y ≤ mx + b
From inspection of the graph, its y-intercept is 2.
⇒ y ≤ mx + 2
The <u>inequality</u> represented by the yellow line has a <u>negative slope</u> and shading <u>above</u> the line.
⇒ y ≥ -mx + b
From inspection of the graph, it's y-intercept is zero.
⇒ y ≥ -mx
The only pair of inequalities that satisfies the above conditions is:
Learn more about graphing inequalities here:
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