Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3
Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.
-6=-3(-1)+b
-6=3+b
-9=b
So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.
Hope this helped!
It is okay to take the inverse of both side given that you remember to exclude the value that make the denominator zero which is in this case r=-1
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities: the stock will rise to a value of $32 a share is 22%</span> <span> the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
(.22(24)-.78(5))2500
(5.28-3.9)2500
(1.38)2500
3450
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = 
.
Therefore, the slope of the line perpendicular to the line given = 
because 
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
