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
in point slope form equation.
(Product of two same signs is positive)
(Multiply each side by 2)
(Cancel common terms)
(Apply distributive property:
)
(Multiply:
)
(Subtract 8 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 2)
(Cancel common terms)
The slope-intercept form line equation is .