Note that when two lines have slopes of m₁ and m₂, then
(i) If m₁ = m₂, then the lines are parallel.
(ii) If m₁*m₂ = -1, then the lines are perpendicular.
Let us evaluate the given lines.
a. y = 4x - 1 and 12x = 3y + 7
y = 4x - 1 => m₁ = 4
Write the second equation in standard form.
3y = 12x - 7
y = 4x - 7/3 => m₂ = 4.
m₁ = m₂.
Answer: PARALLEL
b. x - 7y = 10 and 2x + 14y = 21
In standard form,
7y = x - 10 or y = (1/7)x - 10/7 => m₁ = 1/7
14y = - 2x + 21 or y = -1/7 + 3/2 => m₂ = -1/7
m₁ ≠ m₂ and m₁*m₂ ≠ -1.
Answer: NEITHER
c. 5x + 6y = 18 and 18x - 15y = 36
In standard form,
6y = -5x + 18 or y = -(5/6)x + 3 => m₁ = -5/6
15y = 18x - 36 or y = (6/5)x - 12/5 => m₂ = 6/5
m₁*m₂ = -1
Answer: PERPENDICULAR
d. x =1 and y = 1
x = 1 => m₁ is undefined
y = 1 => m₂ = 0
m₁ ≠ m₂ and m₁*m₂ ≠ -1
Answer: NEITHER
Answer: it think the answer is 8
Sorry if I’m wrong
To calculate percentage increase, use the following method:
First, Work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Now, divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
Also, If your answer is a negative number it is a percentage decrease.
To calculate percentage decrease, use this method:
First, Work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then, divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
Also, If your answer is a negative number then it is a percentage increase.
<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Given equation:
Using formula:
Solving the given equation:
compare the value form the given formula:
Correct equation 
solpe
