Answer:
y = (1/3)x - 4
Step-by-step explanation:
Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.
Start with the general slope-intercept form y = mx + b.
Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or
-2 = 2 + b. Thus, b = -4, and the desired equation is
y = (1/3)x - 4
Answer:
x=-5 and y= 4
Step-by-step explanation:
To eliminate x, add up both equations
9y= 36
divide both sides by 9
y=36/9
y= 8
To eliminate y, multiply the first equation by 8
-16x + 8y = 112
2x+ 8y= 22
Subtract equation 2 from equation 1
-18x = 90
Divide both sides by -18
x= 90/-18
x= -5
Answer:
The perimeter of the rectangle B C E F is 16.97 units
Step-by-step explanation:
* Lets explain how to solve the problem
- B C E F is a rectangle
- The perimeter of the rectangle is the sum of the length of its
four sides
- The coordinates of the vertices of the rectangle are:
B (0 , 3) , C (4 , -1) , E (2 , -3) , F (-2 , 1)
- To find the dimensions of the rectangle use the rule of distance
d =
* Lets solve the problem
∵ 
∵ 
∵ 
∵ 
∵ The perimeter of the rectangle = BC + CE + FE + BF
∴ The perimeter = 
∴ The perimeter of the rectangle B C E F is 16.97 units