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 Additive identity property: a + 0 = a)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
The y-intercept is 5 , so the graph intersects the y-axis at (0, 5).
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\ (Substitute y = 0 in original equation)
(Zero product property:
)
The x-intercept is 15 , so the graph intersects the x-axis at ( 15 , 0).
Graph Using Intercepts:
\Use these ordered pairs to graph the equation.
\1. Draw a coordinate plane.
\2. Plot the points.
\3. Draw a line through these points.
\
Graph for the equation is