Question

Write down the two inequality equations that go with this graph below:

Answer 1

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

How to Write the Equation of an Inequality?

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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