https://file.aiquickdraw.com/mathbot/file/17283484645396ej39pzi.jpg

The equation in the image is:

\[
y - 4 = \frac{1}{5}(x - 3)
\]

This equation is in point-slope form, \(y - y_1 = m(x - x_1)\), where:
- \(m = \frac{1}{5}\) is the slope of the line.
- The point \((x_1, y_1) = (3, 4)\) is a point on the line.

### To graph this equation:
1. **Identify the point** \((3, 4)\) as a starting point. Plot this on the graph.
2. **Use the slope**: The slope \(\frac{1}{5}\) means that for every 5 units you move to the right on the x-axis, you move 1 unit up on the y-axis. So from \((3, 4)\), move 5 units to the right to \((8, 4)\) and 1 unit up to \((8, 5)\), and plot this point.
3. **Draw the line** through these points.

Would you like more details or have any questions?

Here are some related questions:
1. How do you convert a point-slope form equation into slope-intercept form?
2. What is the general strategy to find the slope between two points?
3. How can you determine the y-intercept from point-slope form?
4. How do you graph a line given only the slope and a random point?
5. How do you verify if a point lies on a given line?

**Tip**: When using the slope, think of it as a "rise over run" to easily plot points from a known location.

Graph the equation using the point and the slope: y - 4 = (1/5)(x - 3)

Learn how to graph the linear equation y - 4 = (1/5)(x - 3) using point-slope form. This tutorial explains key concepts such as identifying the point (3, 4) and applying the slope 1/5 to plot the line. Suitable for Grades 8-10.

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