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)
(Simplify) \ \
(Apply Additive inverse property: a + 0 = a)
(Divide each side by negative 2) \ \
(Cancel common terms) \ \
(Divide:
)
The y-intercept is , so the graph intersects the y-axis at (0,
).
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\ (Substitute y = 0 in original equation)
(Simplify)
(Divide each side by negative 4)
(Cancel common terms)
(Divide:
)
The x-intercept is - 3, so the graph intersects the x-axis at ( - 3, 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