Answer:
The answer to your question is below
Step-by-step explanation:
-4x² + 9y² + 32x + 36y - 64 = 0
-4x² + 32x + 9y² + 36y = 64
-4(x² + 8x ) + 9(y² + 4x ) = 64 Factor coefficients
-4(x² + 8x + 4²) + 9(y² + 4x + 2²) = 64 - 64 + 36 Complete trinomials
-4(x + 4)² + 9(y + 2)² = 36 Factor trinomials
![\frac{-4(x+4)^{2} }{36} + \frac{9(y + 2)^{2} }{36} = \frac{36}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%28x%2B4%29%5E%7B2%7D%20%7D%7B36%7D%20%2B%20%5Cfrac%7B9%28y%20%2B%202%29%5E%7B2%7D%20%7D%7B36%7D%20%3D%20%5Cfrac%7B36%7D%7B36%7D)
Divide by 36
Simplify
Answer:
A. y = -4x + 2 and B. 2x + 2y = 6
Step-by-step explanation:
A. y = -4x + 2 This is correct since the displayed picture shows a negative slope. Therefore, m is negative
B. 2x + 2y = 6 This is converted to y = -x +3 So, it is also correct
C. 2x - y = 7 This is converted to y = 2x-7 So, it is not correct
D. y = 5 Y value would have to always be at 5 So, it is not correct
Answer:
2.5
Step-by-step explanation:
Parallel lines have the same slope
Find the slope of points A and B
(y2 - y1)/ (x2-x1)
(5-(-5))/(-1-(-2)) = (5+5)/(-1+2) = 10/1
The slope of the points is 10
In the equation
y = 10x + 12
Y = mx + b, m indicating slope
The slope of the equation is also 10
Because both slope is 10, the line through the points and the equation is parallel