Intermediate Algebra: Connecting Concepts through Application

Recall: (1) The slope $(m)$ of a line is the average change in $y$ for every unit of change in $x$, and can be interpreted as the rise (change in $y$) over run (change in $x$). (2) The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$. Thus, $y=3x-4$ has a slope of $3$ and has $(0, -4)$ as its $y$-intercept. From $(0, -4)$, use the concept of slope as rise over run by moving $3$ units up (the rise) and $1$ unit to the right (the run) to obtain the point $(1, -1)$. Plot the points then connect them using a straight line. Refer to the graph above.