Which best describes the relationship between the line that passes through (7, 1) and (10, 5) and the line thatpasses through (–8, 5) and (–5, 9)?

y= 4/3 x+47/3

y=4/3 x+10/3

parallel lines

Step-by-step explanation:

find the equations first :

(7,1) and (10,5)  y2-y1 =5-1=4 , and x2-x1 =10-7=3

slope m=4/3

y=4/3 x +b

find b : y=10, x=5 , b=10-20/3=10/3

y=4/3 x+10/3

for points (-8,5) and (-5,9)

y2-y1=9-5=4

x2-x1=-5-(-8)=3

m=4/3

y=4/3 x+b   find b when y=5 and x=-8

5+32/3 =b

b=47/3

y= 4/3 x+47/3

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.