Intermediate Algebra: Connecting Concepts through Application

Recall: The line $y-y_1=m(x-x_1)$ has a slope of $m$ and passes through the point $(x_1, y_1)$. The given equation is equivalent to $y-(-4)= 2[x-(-3)]$. Thus, the given line has a slope of $2$ and passes through the point $(-3, -4)$. The slope is $2$ so using the concept of the slope being rise over run, from the point $(-3, -4)$, go $2$ units upward and $1$ unit to the right to obtain the point $(-2, -2)$. Plot the two points then connect them using a straight line. Refer to the graph above.