Question

Which inequality pairs with y_<-2-1 to complete the system of linear inequalities represented by the graph

Answer 1

Answer:

$y > -2x+2$

Step-by-step explanation:

we know that

The solution of the inequality of the dotted red line is the shaded area above the dotted line

The dotted red line is parallel to the solid gray line

The equation of the solid gray line is equal to $y=-2x-1$ ----> given line

The slope of the solid gray line is m=-2

Remember that

If two lines are parallel, then their slopes are the same

therefore

The slope of the dotted red line is m=-2

The y-intercept of the dotted red line is b=2

Find the equation of the dotted red line in slope intercept form

$y=mx+b$

we have

$m=-2\\ b=2$

substitute

$y=-2x+2$

Remember that the solution is the shaded area above the dotted red line

therefore

$y > -2x+2$

Answer 2

Answer: B

Step-by-step explanation: