Question

Show all work please:

Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form.

Answer 1

y-y' = m(x-x') where (x';y')=(-4;2) and m=-1 since the new line is parallel to the old and has same gradient.

y-2=-1(x+4)
y-2=-x-4
y=-x-2

Answer 2

the answer is y=-x-2