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 multiplication property of zero:
)
The y-intercept is 7.5, 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 subtraction property of equality: Subtract 7.5 from each side.
\ (Apply additive inverse property:
)
\
Apply division property of equality: Divide each side by 1.25.
\ (Cancel common terms)
(Divide:
)
The x-intercept is 6, so the graph intersects the x-axis at (
6, 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 linear equation is