Midpoint = (x1 + x2) / 2, (y1 + y2)/2
(-2,1)....x1 = -2 and y1 = 1
(4,-1)...x2 = 4 and y2 = -1
time to sub
m = (-2 + 4) / 2 , (1 + (-1) / 2
m = (2/2), (0/2)
m = (1,0) <==
y = -x + 1.....(1,0)...x = 1 and y = 0
0 = -1 + 1
0 = 0 (correct)
so the midpoint M (1,0) lies on the line since its coordinates satisfy the equation <===
The first answer.
Point P is at (50,-40) the distance from Q to P is 80 units which you can find by subtracting the x of Q (-30) from the x of P (50).
50-(-30)=80
It then tells you point R is vertically above point Q so you know your x value for R will be the same as Q.
Add your distance from Q to P of 80 units to the y value of Q because you are traveling up.
-40+80=40
R will have a point of (-30,40) and a distance of 80 units
Given:
The equation
goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

...(i)

...(ii)
Adding (i) and (ii), we get


Divide both sides by 4.

Put A=5 in (i), we get
Divide both sides by 5.

Therefore, the values of A and B are 5 and -4 respectively.
Answer:
(7, -4)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If the average wasn't shifted at all, that means the third value must've been the same as the average to not shift it.