If the line must be perpendicular to the equation, that means the slope is the reciprocal of the one in the given equation. So first we find that, the slope of the given equation.
- 2y + 4 = 6x + 8
- 2y = 6x + 4
y = - 3x - 2
So the slope of the given equation is - 3x. That means the slope of our perpendicular equation must be 1/3x
Now to find the value of n, plug in our given information and perpendicular slope into the slope equation:
Slope = (Y₂ - Y₁ ) / (X₂ - X₁)
1/3 = (- 8 - (-4)) / (2 - n)
1/3 = (- 8 + 4) / (2 - n)
1/3 = ( - 4) / (2 - n)
Multiply both sides by (2 - n) to get the binomial out of the denominator
(1/3)(2 - n) = - 4
Multiply both sides by 3 to isolate the binomial
2 - n = - 4(3)
2 - n = - 12
Subtract 2 from both sides to isolate the variable
- n = - 14
Divide by - 1 to get rid of the negative.
n = 14. Your coordinate is ( 14, - 4)
Now to find the equation that is perpendicular.
y = 1/3x + b
Plug in either of the coordinates. I'm going to use the ordered pair we just found.
- 4 = 1/3(14) + b
- 4 = 14/3 + b
- 12/3 = 14/3 + b
Subtract 14/3 on both sides.
- 26/3 = b
Your equation is y = 1/3x - 26/3
Answer:
Perpindicular
Step-by-step explanation:
Solve each equation for y, or point Slope form.
y = mx + b
4y = 3x - 4 divide both sides by 4 to isolate the y.
y = 3/4x - 1
The second equation.
4x + 3y = - 6 subtract 4x from both sides
3y = -4x - 6 divide both sides by 3
y = -4/3 - 2
If you visualize line 1 having a Slope of 3/4, that is, for every 4 we move in the positive x direction, y will increase by 3, it slopes up from left to right crossing the y axis at (0,-1). The second line moves 3 in the positive x direction and decreases in y by 4, it slopes down from left to right crossing the y axis at (0,-2}.
Because the two lines have negative inverse slopes they are perpendicular. 3/4x and - 4/3x
This is the number of combinations of 4 from 12
12C4 = 12!
----------
4! 8!
= 12*11*10*9 11*5*9 = 495
-------------- =
4*3*2*1
Answer:
Naool naka pc or ewan sana ol
