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

Explanation:

Step1: Use point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line. Given $m = 9$ and $(x_1,y_1)=(0,1)$, we substitute these values into the formula: $y - 1=9(x - 0)$.

Step2: Simplify the equation

Simplify $y - 1=9(x - 0)$ to get $y=9x + 1$.

Step3: Find another point

We can find another point on the line by choosing a value for $x$. Let $x = 1$, then $y=9\times1+1=10$. So another point is $(1,10)$.

Step4: Graph the line

Plot the points $(0,1)$ and $(1,10)$ on the coordinate - plane and draw a straight line passing through them.

Answer:

Graph the line passing through the points $(0,1)$ and $(1,10)$.