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 6 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Apply additive identity property:
)
Apply multiplication property of equality: If a = b then a c = b
c.
(Multiply each side by 2)
(Cancel common terms)
(Multiply:
)
Apply division property of equality:If a = b then .
(Divide each side by 5)
(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