Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
First, you need to find the slope of the first line by using point slope formula (y2-y1) = m(x2-x1)
0 - 1 = m(0-4)
-1 = -4m
--- ----
- 4 -4
1/4 = m (slope)
Because the first line is perpendicular to the second line, the slope of the second line is the inverse. 1/4 ----> - 4/1
y - 0 = -4(-1-1)
y - 0 = -4(-2)
These are the line equations:
y = -4x + 7
y = 1/4x
I think this is right but if anyone sees something wrong or needs more clarification please comment!
Answer: 5.5
i honestly don't know
f(x) = a - x
y = a - x
y + x = a - x + x
y + x = a
y + x - y = a - y
x = a - y
f-¹(x) = a - x
