SOLUTION: Good Morning, Can you show me how to graph the following inequality? y is greater than or equal to -1/2x Where is the Y intercept in this one? Is it set to 0. H

Question 554479: Good Morning,

Can you show me how to graph the following inequality?
y is greater than or equal to -1/2x
Where is the Y intercept in this one? Is it set to 0.
Hope to hear from someone soon.
Sincerely,
T.H
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the equation is y >= -(1/2)x
you graph the equation of y = (1/2)x.
then you shade the area of the graph that corresponds to the equation of y >= (-1/2)x.
in this case, you will be shading the area above the line.
your graph looks like the following:
$$$$

your solution to the equation of:
y >= (-1/2)x will be any point that:
lies on the line itself (this would be the = part of the equation), or:
lies above the line (this would be the > part of the equation).
for example:
when x = 4, y = -(1/2)x would be equal to -2.
the point (4,-2) lies on the line and is a solution to the equal part of the equation.
the point (4,0) lies above the line and is one of the solutions to the greater than part of the equation.
any point that lies on the value of x with a corresponding y value greater than -2 will be a solution to the greater than part of the equation.
this would include:
y = -2, -1, 0, 1, 2, 3, 4, ......, etc.

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