The line equation in slope-intercept form is
, where m is the slope and b is the y-intercept.
The line parallel to
has the same slope
.
Replace m with
, and (x1, y1) with (-5,-4) in point slope form equation.
(Product of two same signs is positive)
(Multiply each side by 2)
(Apply distributive law: a(b+ c) = ab + ac)
(Multiply:
) \ \
(Subtract 8 from each side)
(Additive inverse property:
)
(Subtract:
) \ \
(Divide each side by 2) \ \
(Cancel common terms) \ \
The slope-intercept form line equation is
.