Which one is problem number 4?
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Answer:
k=4
Step-by-step explanation:
5-7k=-4(k+1)-3
Distribute
5-7k=-4k-4-3
Combine like terms
5-7k=-4k-7
Add 7k to each side
5-7k +7k = -4k+7k-7
5 = 3k-7
Add 7 to each side
5+7 = 3k-7+7
12 = 3k
Divide by 3
12/3 = 3k/3
4=k
