The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
First find the slope of the line. If two lines are parallel, their slopes must be equal.
\The line parallel to has the same slope. Compare the equation with
slope-intercept form and find the slope of the line.
\Slope of the line (m) = .
Substitute and m =
in the point-slope form
equation
(Substitute
)
(Apply distributive property:
)
(Product of two same signs is positive)
(Multiply:
)
(Apply additive indentity property:
)
(Subtract 1 from each side)
(Apply additive inverse property:
)
(Apply additive indentity property:
)
The slope-intercept form line that passes through and parallel to
line is
.