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:
)
The y-intercept is
.
The co-ordinate point is
.
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\
(Substitute y = 0 in original equation)
Apply addition property of equality: If a = b then a + c = b + c.
\
(Add 2 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Apply Additive identity property:
)
Apply division property of equality:If a = b then
.
(Divide each side by 3)
(Cancel common terms)
The x-intercept is
.
The co-ordinate point is
.
Use these ordered pairs to graph the equation.
\1. Draw a coordinate plane.
\2. Plot the points.
\3. Draw a line through these points.
\
For the graph using x-intercept is
and y-intercept is
is