Answer:
the line equation is 2*x - y = 3
Step-by-step explanation:
for the line equation in implicit form
A*x + B*y = C
then if the point (x=4,y=5) belong to the line
4*A + 5*B = C
and if the point (x=7,y=11) belong to the line
7*A + 11*B = C
then since we can choose C freely , we set C=1 for simplicity , then
4*A + 5*B = 1 → B= (1-4*A)/5
7*A + 11*B = 1
7*A + 11*(1-4*A)/5 = 1
7*A - 44/5*A + 11/5 = 1
-9/5*A = -6/5
A= 2/3
B= (1-4*A)/5 = (1-4*2/3)/5 = -1/3
therefore
2/3*x - 1/3*y = 1
2*x - y = 3
Solve for x by simplifying both sides of the equation, then isolating the variable.
ANS:
x=0
Area is Length x width.
Area = 4x * 5
Area = 20x
Replace A in the inequality:
Now you have 100 <= 20x <= 1,000
Now solve for x by dividing all 3 by 20:
5 <= x <=50
Check to see if they are viable:
4(5) x 5 = 20 x 5 = 100
4(50) x 5 = 200 x 5 = 1,000
Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.
In a straight line there are multiple ordered pairs, so there are multiple correct answers.
You can make an x,y table which is basically just a table of made up coordinates that you plug into the given equation..
so an ordered pair for this could be (2,0)
3(2)-0=6
6=6