The points are .
The point-slope form of the line equation is . 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 form of the line equation .
(Substitute
7 for x1, 6 for y1 and
)
(Product of two same signs is positive)
(Multiply each side by 3)
(Cancel common terms)
(Apply distributive property:
)
(Multiply:
)
(Apply distributive property:
)
(Multiply:
)
(Subtract 3y from each side)
(Apply additive inverse property:
)
(Subtract 35 from each side)
(Apply additive inverse property:
)
(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:
)
(Apply additive identity property:
)
(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:
)
(Apply additive identity property:
)
(Divide each side by 5)
(Cancel common terms)
The x-intercept is .
The x-intercept is and the y-intercept is
.