Question

Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

A. x + y = 5

B. x - y = -5

C. -x - y = 5

D. x + y = -5

***Please explain! :) THx!! :D

Answer 1

what's the slope of y = -x + 1

Answer 2

-1 right?

Answer 3

yes

Answer 4

the slope of any parallel line will also have a slope of -1

Answer 5

so m = -1 for this new line

Answer 6

now plug this along with (4,1) into y = mx+b

y = mx+b

y = -1x+b ... Plug in m = -1

1 = -1(4)+b ... Plug in (4,1)...or replace x with 4 and y with 1

Now solve for b

Answer 7

1=-4+b
5=b

Answer 8

is that right??

Answer 9

good

Answer 10

so the equation of the parallel line is y = -x+5

Answer 11

now convert to standard form

Answer 12

is that right?