The linear function is .
The y-intercept is the value of y when x = 0.
\ (Substitute 0 for x)
(Apply zero product property:
)
The y-intercept is 0. The graph crosses the y-axis at (0, 0).
The x-intercept is the value of x when y = 0.
\ (Substitute 0 for y)
Apply division property of equality: if a = b, then.
(Divide each side by 7)
(Cancel common terms)
(Divide:
)
The x-intercept is 0. The graph crosses the x-axis at (0, 0).
Since the intercepts are at the same point, find another point to graph the line.
\ (Substitute 1 for x)
(Multiply:
)
Another point on the graph 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.
\
The graph is
\