## Intermediate Algebra: Connecting Concepts through Application

$$x_{intercept} = (7.5, 0)$$ $$y_{intercept} = (0, 5)$$
To solve for the intercepts, one substitutes the opposite variable for zero and then solves the equation. To find the $x_{intercept}$: $$4x + 6(0) = 30$$ $$4x = 30$$ $$x = 7.5$$ To find the $y_{intercept}$: $$4(0) + 6y = 30$$ $$6y = 30$$ $$y = 5$$ To find the graph, simply plot both intercepts and draw the line that connects them.