We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
- demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒
- the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒
Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:
Solving, you get:
50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p
P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
- demand equation: ⇒ x= 3 Thousand units
- the supply equation ⇒ x=3 Thousand units
So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs
The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:
.
Thus, the slope in A is
.
The slope in B is
.
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A