The linear function is .
The y-intercept is the value of y when x = 0.
\ (Substitute 0 for x)
(Apply zero product property:
)
(Apply additive identity property:
)
The y-intercept is 5. The graph crosses the y-axis at (0,
5).
The x-intercept is the value of x when y = 0.
\ (Substitute 0 for y)
Apply addition property of equality: if a = b than a + c = b + c.
\ (Add 5 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property: a + 0 = a)
Apply division property of equality: if a = b than .
(Divide each side by 3)
(Cancel common terms)
(Multiply each side by negative one)
(Product of two same signs is positive)
The x-intercept is . The graph crosses the x-axis at (
, 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.
\
x-intercept is and the y-intercept is
5.
Graph of line equation