Question

1. $y=\frac{1}{3}x + 1$

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=1$. So the line crosses the y-axis at $(0, 1)$.

Step2: Use slope to find second point

Slope $m=\frac{1}{3}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{1}{3}$. From $(0,1)$, move up 1 unit and right 3 units to get the point $(3, 2)$.

Step3: Plot and connect points

Mark $(0,1)$ and $(3,2)$ on the grid, then draw a straight line through them (extending in both directions).

Answer:

The line passes through points such as $(0, 1)$ and $(3, 2)$, forming a shallow upward-sloping line on the coordinate grid.