The equation is .
(Subtract 2x from each side)
Rearrange the terms using ommutative property of addition:.
(Apply additive inverse property:
)
(Divide each side by 5)
(Cancel common terms)
(Multiply each side by negative one)
(Product of two same signs is positive)
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:
)
(Divide:
)
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)
(Multiply each side by 5)
(Cancel common terms)
(Apply zero product property:
)
(Add 1 to each side)
(Apply additive inverse property:
)
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
The x-intercept is 0.5, so the graph intersects the x-axis at (0.5, 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 \ \