Question

graph the line with the equation $y = \frac{1}{3}x + 4$.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=4$. So the line crosses the y-axis at $(0, 4)$.

Step2: Use slope to find 2nd point

Slope $m=\frac{1}{3}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{1}{3}$. From $(0,4)$, move 3 right and 1 up to get $(3, 5)$.

Step3: Plot and connect points

Mark $(0,4)$ and $(3,5)$, then draw a straight line through them (extending in both directions).

Answer:

The line passes through points $(0, 4)$ and $(3, 5)$ (and other points following the slope $\frac{1}{3}$), forming a straight line rising from left to right on the coordinate plane.