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
Step-by-step explanation:
m=5/7
m1=m2=5/7
L;y-(-2)=5/7(x-(-5)
y+2=5/7(x+5)
7y+14=5X+25
7y-5x=11 is parallel lines
m1*m2=-1 is perpendicular lines
m2=-1*7/5
m2=-7/5
L;y+2=-7/5(x+5)
5Y+10=-7x-35
5y+7x=-45 is perpendicular lines
200+50+4=254 is the answer