The equation given is in point-slope form, which is:

$y - 2 = 3(x - 1)$

This can be rewritten in slope-intercept form ($y = mx + b$) by expanding and simplifying the equation:

Step 1: Expand the equation

$y - 2 = 3(x - 1)$ $y - 2 = 3x - 3$

Step 2: Isolate $y$

$y = 3x - 3 + 2$ $y = 3x - 1$

So, the equation of the line is:

$y = 3x - 1$

Key information:

• Slope (m): 3
• Y-intercept (b): -1

This means the line has a slope of 3, which indicates that for every 1 unit you move horizontally to the right, you move 3 units up vertically. The line crosses the y-axis at $y = -1$.

Now, let's visualize this graph:

• The line will pass through the point $(1, 2)$, which is the point given in the original equation (this is the point that satisfies the point-slope form).
• The line has a steep upward slope because the slope is positive and greater than 1.

Would you like me to generate the graph for you?