Question

① $y=\frac{1}{3}x + 3$

Explanation:

Step1: Identify slope-intercept form

The equation $y=\frac{1}{2}x+3$ follows $y=mx+b$, where $m=\frac{1}{2}$ (slope) and $b=3$ (y-intercept).

Step2: Plot y-intercept

The y-intercept is at $(0, 3)$; mark this point on the y-axis.

Step3: Use slope to find next point

Slope $\frac{1}{2}$ means $\frac{\text{rise}}{\text{run}}=\frac{1}{2}$. From $(0,3)$, move up 1 unit and right 2 units to get $(2, 4)$; mark this point.

Step4: Draw the line

Connect the points $(0,3)$ and $(2,4)$, then extend the line in both directions.

Answer:

The graph is a straight line passing through points $(0, 3)$ and $(2, 4)$, extending infinitely in both directions.