Answer:
Perpendicular line y = (- 8/3)x - 76/3.
Parallel line y = (3/8)x - 1
Step-by-step explanation:
y = 3/8
x + 3
1) Perpendicular line has negative reciprocal slope.
m = - 8/3
y = (- 8/3)x + b
Point (-8, - 4)
- 4 = (- 8/3)*(-8) + b
-4 - 64/3 = b
b = - 76/3
y = (- 8/3)x - 76/3
2) Parallel line has the same slope.
m = 3/8
y = (3/8)x + b
Point (-8, -4)
- 4 = (3/8)*(- 8) + b
- 4 + 3 = b
b = - 1
y = (3/8)x - 1
So we know that the length of the rectangle is 9 meters.
In order to find area of a rectangle, you multiply the length by the width.
To find the width, you divide the area by the side you do have , which is 9 meters.
72 divided by 9 is 8.
So the width 8 meters, and now to find the perimeter you must add all sides of the rectangle.
9+9+8+8 = 34.
The perimeter of the rectangular garden is 34 meters.
Answer:
Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is
Linear Relationship i.e 
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -7, 5 )
point B( x₂ , y₂) ≡ (-5, 9)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula
Substituting the given values in a above equation we get
Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is
Linear Relationship i.e
(8z - 10) ÷ (-2) + 5(z - 1) = 8z - 10 ÷ -2 + 5z - 5 = 8z + 5 + 5z - 5 = 13z
