Question

graph this line using the slope and y-intercept:
$y = \frac{1}{6}x + 3$
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. Here, $b=3$, so the point is $(0, 3)$.

Step2: Use slope to find second point

Slope $m=\frac{1}{6}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{1}{6}$. From $(0,3)$, move 6 right and 1 up: $(0+6, 3+1)=(6,4)$.

Step3: Plot and connect points

Mark $(0,3)$ and $(6,4)$, then draw a line through them.

Answer:

The line passes through points $(0, 3)$ and $(6, 4)$; connecting these points graphs $y=\frac{1}{6}x+3$.