The equation of a line in point-slope form is given by:

$y - y_1 = m(x - x_1)$

where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line. From your image, the point $(2, 4)$ lies on the line.

To find the slope $m$, we can use the information from the grid in the image. We need another point on the line to calculate the slope. It appears that the line crosses the y-axis at $y = 0$ and the x-axis at $x = 3$, giving us another point, $(3, 0)$.

Calculating the slope $m$ using the points $(2, 4)$ and $(3, 0)$:

$m = \frac{0 - 4}{3 - 2} = \frac{-4}{1} = -4$

Now substituting $m = -4$ and the point $(2, 4)$ into the point-slope equation:

$y - 4 = -4(x - 2)$

Therefore, the equation of the line in point-slope form is:

$y - 4 = -4(x - 2)$

Would you like further details or have any questions about this solution?

Here are some related topics:

1. How to convert this point-slope equation to the slope-intercept form $y = mx + b$?
2. How to derive the standard form of the equation of a line from point-slope form?
3. How to calculate the slope if given a graph without coordinates?
4. What is the significance of the slope and y-intercept in this context?
5. How to find the distance from a point to this line?

Tip: Always plot multiple points from the line equation to verify its correctness visually on a graph.