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:
)
(Subtract:
)
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:
)
(Additive identity proeprty:
)
(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:
)