Write an equation of the ellipse with focus at (0,+-9) and vertices at (0,+-13)
The major axis is along the y-axis
We need to find " b" = √[a^2 − c^2] = √ [ 13^2 − 9^2] = √ [169 − 81] = √88
So.... the equation is
y^2 / a^2 + x^2 / b^2 = 1
y^2 / 169 + x^2 / 88 = 1
The solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
<h3>Solving system of equations </h3>
From the question, we are to determine the solution to the given system of equations
The given system of equation is
y = 2/3 x + 3 ----------- (1)
x= -2 ----------- (2)
The value of x has been given in the second equation of the system of equations.
Now, we will determine the value of y
From the second equation, we have that
x = -2
Substitute the value of x into the first equation,
y = 2/3 x + 3
y = 2/3 (-2) + 3
y = -4/3 + 3
y = 5/3
Hence, the solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
Learn more on Solving system of equations here: brainly.com/question/13729904
#SPJ1
Answer:
Option B, y intercept of -4
Step-by-step explanation:
Option A is incorrect because you cannot use the slope because you don't know where or what point to start from.
<em>Option B is correct because the first thing you do is plot the y intercept of -4 and then you find the slope of the line.</em>
<em />
Option C is incorrect because you cannot use the slope because you don't know where or what point to start from.
Option D is incorrect because that is the wrong y intercept.
Answer: Option B, y intercept of -4
