answers :
a.
coordinates of A are (2,4)
b.
coordinates of B are (6,0)
i.
(4,2) is the midpoint
ii.
y = -3x + 18 is the parallel line
Step-by-step explanation:
a.
if two things are equal to the same thing then they are equal to each other
y = 4
2x + y = 8 is y = -2x +8 so
-2x +8 = 4
-2x = -4
x = 2
coordinates of A are (2,4)
b.
if two things are equal to the same thing then they are equal to each other
y=0
3x+y=18 is y = -3x+18 so
-3x+18=0
x = 6
coordinates of B are (6,0)
midpoint formula is
(X1+X2)/2 , (Y1+Y2)/2
(2,4) (6,0)
(X1+X2)/2 , (Y1+Y2)/2
(2+6)/2 , (4+0)/2
(4,2) is the midpoint
parallel line has the same x value
so for a line parallel to 3x+y=18 or y = -3x+18
the parallel line would be
y = -3x
point slope formula
point slope formulay - y1 = m (x - x1)
3x+y=18 or y = -3x+18 was 6,0 at y = 0
y - y1 = m (x - x1)
y - 0 = m (x - x1)
since it's a parallel line the m has to be the same
(6,0)
y - 0 = -3 (x - 6)
y = -3x + 18 is the parallel line
