The slope m of a non vertical line through any two points is given by,
\ (Substitute
)
(Product two same signs is positive) \ \
(Add:
)
(Add:
)
(Divide:
)
Slope .
The line equation in point-slope form is ,
where m is the slope and where is a given point on a nonvertical line.
Substitute , x1 =
4 and y1 =
4 in point-slope form equation.
(Product two same signs is positive)
Apply multiplication property equality:Multiply each side by 4.
\ (Cancel common terms) \ \
Distribute terms using distributive property: a(b + c) = ab + bc.
\ (Multiply:
)
Apply subtraction property equality:Subtract 16 from each side.
\ (Apply additive inverse proeprty:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property equality:Divide each side by 4.
\ (Cancel common terms)
The line equation is .