Answer: y = (-1/2)x+1
----------------------------------------------
Explanation:
D = Midpoint of A and B
D = (x,y)
x = [(xCoord of A)+(xCoord of B)]/2
x = [(-4)+(4)]/2
x = 0/2
x = 0
y = [(yCoord of A)+(yCoord of B)]/2
y = [(-2)+(4)]/2
y = 2/2
y = 1
So the midpoint of AB is D = (x,y) = (0,1)
The median for point C will go through the points D = (0,1) and C = (18,-8)
Let's find the slope of line DC
m = (y2-y1)/(x2-x1)
m = (-8-1)/(18-0)
m = -9/18
m = -1/2
Then use the slope m and one of the points D or C to find the y intercept b
I'm going to use the coordinates of point D
y = m*x+b
1 = (-1/2)*(0)+b
1 = 0+b
b = 1
So the equation of line DC is y = (-1/2)x+1, which contains the median that goes through point C
Answer:
see explanation
Step-by-step explanation:
(a)
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) + 5 represents a shift up of 5 units, thus
(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )
(b)
Given f(x) then - f(x) represents a reflection of f(x) in the x- axis
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(2, - 3 ) → (2, 3 )
Answer:
f86
Step-by-step explanation:
f36
Answer:
f(0) = 2
Step-by-step explanation:
f(x) = 7x+2
→ f(0)
f(0) = 7(0)+2
= 0+2
= 2