Question

MEDALS/FAN
Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16)

A. y = x – 6

B. y = x + 6

C. y = x

D. y = x + 14

Answer 1

D

Answer 2

hi..
since the 2 lines r parallel their slopes r equal. which means
the function of the line the question asks have the same slope as in y = x + 8

the slope of y = x + 8 is 1
so the slope of the line which is parallel to it also 1
then the function is something like this...
y = x + c
now use the coordinates given (2 , 16) and plug those values in to the function....
y = x + c
16 = 2 + c
c = 14

so... the line parallel to the given function and passes through the mentioned point is
y = x + 14

hope this will help ya!!

Answer 3

Thank you both! Here's another...
Does the equation represent a direct variation? If so, find the constant of variation.

5x = -3y

A. yes; k = 5/3

B. no

C. yes; k = 3/5

D. yes; k = -5/3

Answer 4

I think now u can find the answer....