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:
)
(Subtract:
)
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 addition property of equality: Add 1 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by 4.
\ (Cancel common terms)
(Divide:
)
The x-intercept is 0.25, so the graph intersects the x-axis at (0.25, 0).
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 linear equation is