For this case we have that by definition, the equation of the line of the point-slope form is given by:
Where:
m: It's the slope
It is a point through which the line passes
According to the given statement we have:
Substituting we have:
Finally, the equation is:
Answer:
Answer:
<em>The gaph is shown in the image below</em>
Step-by-step explanation:
<u>Graph of Inequalities</u>
Let's graph the region of the inequality
Since there is no indication, we'll assume the variable p to be in the horizontal axis and m in the vertical axis. Let's solve for m
Since both m and p are positive, we can assume
Or, equivalently
Thus, we can give p any value between 0 and 5,000 to get the corresponding values for m. Let's select the values p=0, p=1,000, p=5,000 to get the points
( 0 ; 2,500 ) ( 1,000 ; 2,000 ) ( 5,000 ; 0 )
With these points we can plot the line representing the function. To know which area must be shaded, we only need to test one point below or above the line. If it fulfills the inequality, then the whole area is shaded.
Let's test the point ( 1,000 ; 1,000 )
Since the condition is met, the area below the line must be shaded as the solution of the inequality
The gaph is shown in the image below
