Is the graph increasing, decreasing, or constant?
2 answers:
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Answer:
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that,
If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution
Plot the points
(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)
therefore
The coordinates of the points that are members of the solution set
(-3,7), (0,4) and (2,3)
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
On substituting the values from the point, we will get
Now we will use slope intercept form, which is
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
b =0
Substituting the values of m and b in the slope intercept form, we will get