The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
Write the line equation in slope-intercept form
\ (Commutative property: a+b=b+a)
(Additive inverse property:
)
(Additive indentity property:
)
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) = 3.
Substitute =
and m = 3 in the point-slope form equation.
(Substitute
)
(Product of two same signs is positive)
(Distributive property:
)
(Multiply:
)
(Add 2 to each side)
(Additive inverse property:
)
(Additive indentity property:
)
(Add:
)
The slope-intercept form line equation is .