The equation is .
Apply subtraction property of equality: Subtract 5x from each side.
\
Apply commutative property of addition: .
(Apply additive inverse property:
)
Apply division property of equality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
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 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 addition property of equality: Add 1.6x to each side.
\ (Apply additive inverse property:
)
(Divide each side by 1.6)
(Cancel common terms)
(Divide:
)
The x-intercept is 3.1, so the graph intersects the x-axis at .
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