The equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:
Thus, the slope of the line is -5.
Therefore a parallel line is of the form:
We replace the point
Finally, the equation is of the form:
Answer:
we have
The solution is the shaded area above the dotted line
we know that
If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality
We will verify all cases to determine the solution of the problem
<u>Case A)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case B)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is true
therefore
the point is a solution of the inequality
<u>Case C)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case D)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
therefore
<u>the answer is the Point B</u>
To better understand the problem see the attached figure
