Question

circle one: dashed / solid line shade above / below 2) y > -2x + 4 m = __ b = __ shade above / below

Explanation:

Step1: Identify the slope - intercept form

The inequality is given in the form \(y>mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.
For the inequality \(y>-2x + 4\), comparing with \(y=mx + b\).

Step2: Determine the values of \(m\) and \(b\)

The coefficient of \(x\) is the slope \(m\). So, \(m=-2\).
The constant term is the \(y\) - intercept \(b\). So, \(b = 4\).
Since the inequality is \(y>-2x + 4\) (the inequality sign is \(>\), not \(\geq\)), the line \(y=-2x + 4\) should be a dashed line. And we shade the region above the line \(y=-2x + 4\) because \(y\) is greater than \(-2x + 4\).

Answer:

\(m=-2\), \(b = 4\), dashed line, shade above.