Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0
2 answers:
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
Isolate the variable y
-----> Multiply by
The solution of the inequality is the shaded area below the solid line
The equation of the line is
The slope of the line is positive
The y-intercept of the line is the point
The x-intercept of the line is the point
Using a graphing tool
the graph in the attached figure
To be able to graph any equation, simply solve for y.
You should get y ≤ x - 2
[the sign switched because you needed to divide by -1 in order to solve for y all the way]
Then use -2 as your y-intercept. This is the point that is at (0,y) on a graph. From the origin, just go down 2 points, and mark your point.
X is the same as 1/1 x. This is your slope. From point -2, <em>rise</em> 1 point, then <em>run</em> 1 point to the right (because it is positive). From that position, mark another point. You now have enough to make a line, which gives you the completed look of the graph for this equation.
It should look like this:
You should get y ≤ x - 2
[the sign switched because you needed to divide by -1 in order to solve for y all the way]
Then use -2 as your y-intercept. This is the point that is at (0,y) on a graph. From the origin, just go down 2 points, and mark your point.
X is the same as 1/1 x. This is your slope. From point -2, <em>rise</em> 1 point, then <em>run</em> 1 point to the right (because it is positive). From that position, mark another point. You now have enough to make a line, which gives you the completed look of the graph for this equation.
It should look like this:
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