Question

Write an equation for the line that contains the point (3, 2) and is parallel to the line -4x – y = 6.
A. -x + 4y = 5
B. 4x + y = -5
C. 4x + y = -1
D. 4x + y = 14

Answer 1

anything parallel to -4x – y = 6 will be in the form -4x – y = C

the left side stays the same while the right side will change

Answer 2

-4x – y = C

-4*3 – 2 = C ... plug in (x,y) = (3,2)

simplify the left side to find C

Answer 3

-14 ? @jim_thompson5910

Answer 4

yes, so -4x – y = C turns into -4x – y = -14

Answer 5

-4x – y = -14 is a perfectly valid answer, but it's not listed

but we can multiply both sides by -1 to get

-4x – y = -14
-1*(-4x – y) = -1*(-14)
4x+y = 14

Answer 6

so `-4x – y = -14` is equivalent to `4x+y = 14`

Answer 7

so D and thank you @jim_thompson5910

Answer 8

yep and yw