Question

graph this line using the slope and y-intercept: y = (1/7)x + 9 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, $b=9$, so the y-intercept point is $(0, 9)$.

Step2: Identify the slope

The slope $m=\frac{1}{7}$, which means $\frac{\text{rise}}{\text{run}}=\frac{1}{7}$. From the y-intercept, move up 1 unit and right 7 units to get a second point: $(0+7, 9+1)=(7, 10)$.

Step3: Plot and connect points

Plot $(0, 9)$ and $(7, 10)$, then draw a straight line through them.

Answer:

1. Plot the point $(0, 9)$ (the y-intercept).
2. Plot the point $(7, 10)$ (found using the slope $\frac{1}{7}$).
3. Draw a straight line passing through these two points to graph the line $y=\frac{1}{7}x + 9$.