Question

graph the function $g(x) = \frac{1}{2}x - 6$.

Explanation:

Step1: Identify slope and intercept

The function $g(x)=\frac{1}{2}x - 6$ is linear ($y=mx+b$), where slope $m=\frac{1}{2}$ and y-intercept $b=-6$.

Step2: Plot y-intercept

The y-intercept is at $(0, -6)$; mark this point on the graph.

Step3: Use slope to find another point

Slope $\frac{1}{2}$ means rise 1, run 2. From $(0,-6)$, move right 2 and up 1 to get $(2, -5)$. Mark this point.

Step4: Draw the line

Connect $(0,-6)$ and $(2,-5)$ with a straight line extending through both directions.

Answer:

A straight line passing through (0, -6) and (2, -5) with slope 1/2.