To graph the line with slope $1$ passing through the point $(4, 5)$, we follow these steps:

Steps to Graph the Line:

1. Plot the point $(4, 5)$:

   • Locate the point where $x = 4$ and $y = 5$ on the coordinate plane. This is your starting point.

2. Use the slope $1$:

   • Slope $1$ means the line rises by $1$ unit vertically for every $1$ unit it moves horizontally. This is commonly referred to as a slope of $1/1$.

3. Draw additional points:

   • From the point $(4, 5)$, move 1 unit right to $x = 5$ and 1 unit up to $y = 6$. This gives the next point $(5, 6)$.
   • Repeat this to find other points, such as $(6, 7)$, $(7, 8)$, etc.

4. Draw the line:

   • Once you have multiple points, draw a straight line through these points.

Would you like more details on how to solve or graph this, or do you have any specific questions?

Related Questions:

1. How do you find the equation of a line if you know the slope and a point on the line?
2. What does a slope of $1$ tell you about the direction and steepness of the line?
3. How would the graph change if the slope were negative?
4. How can you check if a point lies on a given line using the equation of the line?
5. How do you convert between slope-intercept form and point-slope form of a line equation?

Tip: When graphing lines, always use the slope as a guide for moving from point to point.