\
The equation is
The equation is in slope-intercept form.
\To graph the equation, first graph the .
According to subtraction property of equality: If a = b then \ \
(Subtract 8x from each side)
(Commutative property of addition:
)
(Additive inverse property:
)
(Additive identity property:
)
According to Division property of equality: If a = b then \ \
(Divide each side by 6)
(Cancel common terms)
(Simplify)
(Divide:
)
First find the y-intercept.
\The y-intercept is the value of y, when .
(Substitute
)
(Multiplication property of zero:
)
(Additive identity property:
) \ \
Next find the x-intercept.
\The co-ordinate point is .
The x-intercept is the value of x, when .
(Substitute
)
According to subtraction property of equality: If a = b then \ \
(Subtract 2 from each side)
(Commutative property of addition:
)
(Additive inverse property:
)
(Additive identity property:
)
According to Multiplication property of equality: If a = b then
(Multiply each side by 3)
(Cancel common terms)
(Multiply:
)
According to Division property of equality: If a = b then .
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one) \ \
(Multiply:
) \ \
The co-ordinate point 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.
\