the point-slope line equation
. where m is
the slope.
\First find the slope of the line.
\
(Substitute
7 for x1, 6 for y1,
4 for x2 and 11 for y2)
(Product of two same signs is positive)
(Add:
)
(Subtract:
)
\
Next find the point-slope line equation
.
(Substitute
7 for x1, 6 for y1and
)
(Product of two same signs is positive)
(Multiply each side by 3) \ \
(Cancel common terms) \ \
(Distributive property:
)
(Multiply:
)
(Distributive property:
)
(Multiply:
)
(Subtract 3y from each side)
\
(Commutative property: a+b=b+a)
(Additive inverse proeprty:
)
(Subtract 35 from each side)
(Additive inverse proeprty:
)
(Add:
)

The equation is
.
First find the y-intercept.
\The y-intercept is the value of y, when x = 0.
\
(Substitute x = 0 in original equation)
(Multiply:
)
(Divide each side by negative 3)
(Cancel common terms) \ \
The y-intercept is
.
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\
(Substitute y = 0 in original equation)
(Multiply:
)
(Divide each side by 5)
(Cancel common terms) \ \
The x-intercept is
.
The x-intercept is
.
The y-intercept is
.