The equation is .
(Add 7 to each side)
(Apply additive inverse property:
)
(Add:
)
(Divide each side by 3)
(Cancel common terms)
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:
)
(Divide:
)
The y-intercept is 2.6, 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 3)
(Apply multiplication property of zero:
)
(Cancel common terms)
(Subtract 8 from each side)
(Apply additive inverse property:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
The x-intercept is , so the graph intersects the x-axis at
.
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