Question

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)?

Answer 1

y= 4/3 x+47/3

y=4/3 x+10/3

parallel lines

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