graph the line that has a slope of 9 and includes the point (0, 1).\nclick to select points on the graph.

Explanation:

Step1: Identify slope-intercept form

The slope-intercept formula is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

Step2: Plug in given values

We know $m=9$, and the point $(0,1)$ means $b=1$. Substitute to get: $y = 9x + 1$

Step3: Find a second point

Use slope $\frac{\Delta y}{\Delta x}=\frac{9}{1}$. Starting from $(0,1)$, add 1 to $x$ and 9 to $y$: $x=0+1=1$, $y=1+9=10$. So the second point is $(1,10)$.

Step4: Plot and connect points

Mark $(0,1)$ and $(1,10)$, then draw a line through them.

Answer:

Plot the points $(0, 1)$ and $(1, 10)$, then draw a straight line passing through both points.