The RED or Pink inequality equation is: y ≥ -3/2x - 5
The BLUE inequality equation is: y ≥ -1/2x - 3.
<h3>How to Write the Equation of an Inequality?</h3>
Once you know the slope (m) and y-intercept (b), in slope-intercept form y "inequality sign" mx + b, the inequality equation can be written.
Inequality equation for the Blue Line:
Find the slope (m) using the points (-2, -2) and (0, -3)
Slope (m) of the blue line = change in y/change in x = (-2 -(-3))/(-2 - 0)
Slope (m) of the blue line = 1/-2
Slope (m) of the red/pink line = -1/2
The y-intercept (b) for the red/pink line is: -3 (the value of y when x = 0).
We can use any possible inequality sign to state an inequality equation that go with the graph.
Substitute m = -1/2 and b = -3 into y ≥ mx + b:
y ≥ -1/2x - 3.
Inequality equation for the red/pink Line:
Find the slope (m) using the points (-2, -2) and (0, -5)
Slope (m) of the red/pink line = change in y/change in x = (-2 -(-5))/(-2 - 0)
Slope (m) of the red/pink line = 3/-2
Slope (m) of the red/pink line = -3/2
The y-intercept (b) for the red/pink line is: -5 (the value of y when x = 0).
Substitute m = -3/2 and b = -5 into y ≥ mx + b:
y ≥ -3/2x - 5
In conclusion, we have:
The RED or Pink inequality equation is: y ≥ -3/2x - 5
The BLUE inequality equation is: y ≥ -1/2x - 3.
Learn more about the inequality equation on:
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