
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)
(Apply zero product property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by negative 4.
\
(Cancel common terms)
The y-intercept is
, so the graph intersects the y-axis at
.
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\
(Substitute y = 0 in original equation)
(Apply zero product property:
)
(Apply additive identity property:
)
(Divide each side by 3)
(Cancel common terms)
The x-intercept is
, so the graph intersects the x-axis at
.
x-intercept is
and y-intercept is
.