
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 proerty:
)
(Apply Additive identity property:
)
(Multiply each side by negative one)
(Product two same signs is positive)
(Product two different signs is negative)
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 Additive identity property:
)
Apply division property of equality: Divide each side by 2.
\
(Cancel common terms)
The x-intercept is
, so the graph intersects the x-axis at
.
x-intercept is
and y-intercept is
.