Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
Step-by-step explanation:
apply distance formula
distance = ±√(4--3)^2 + (3--2)^2 = ±√74 (rej - value since distance > 0)
Topic: coordinate geometry
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Answer:
I think it is A
Step-by-step explanation:
just trying to help
are your O's different sizes? or is it just my eyes?
Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:
where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.
To make the denominator same multiply 1st term by 
and 2nd term by 
.
Multiply by 36 on both sides
The equation of the image is .
