SOLUTION: In slope-intercept form, write the equation of the line that is parallel to y = –2x – 9 and passes through (–2, –4).

Algebra ->  Linear-equations -> SOLUTION: In slope-intercept form, write the equation of the line that is parallel to y = –2x – 9 and passes through (–2, –4).      Log On


   



Question 618016: In slope-intercept form, write the equation of the line that is parallel to y = –2x – 9 and passes through (–2, –4).
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
slope, from inspection of
y = –2x – 9
is -2
.
A line parallel must have the same slope.
Plug slope (-2) and (–2, –4) into the "point-slope" form:
y - y1 = m(x - x1)
y - (-4) = -2(x - (-2))
y + 4 = -2(x + 2)
y + 4 = -2x - 4
y = -2x - 8 (this is what they're looking for)