## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

a) $m=\dfrac{1}{2}$ b) If $x$ increases by $2$ units, $y$ will increase by $1$ unit.
a) The slope of the line that passes throught two points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ Thus, the slope of the line passing through the two given points is: $m=\dfrac{1-0}{2-0}=\dfrac{1}{2}$ b) Interpreting the slope, we can say that it means how much $y$ changes when $x$ changes. More formally, for every $2$ units change in $x$, $y$ will change by $1$. That is, if $x$ increases by $2$ units, $y$ will increase by $1$ unit.