The point $L$ in the graph appears to have coordinates $(5, 2)$.

To find the coordinates of point $L$ after it is dilated with a scale factor of 3 about the origin, we apply the following rule for dilation:

$(x', y') = (k \cdot x, k \cdot y)$

where $(x, y)$ are the original coordinates, $k$ is the scale factor, and $(x', y')$ are the new coordinates after dilation.

Given:

• Original coordinates $(x, y) = (5, 2)$
• Scale factor $k = 3$

The new coordinates after dilation are:

$(x', y') = (3 \cdot 5, 3 \cdot 2) = (15, 6)$

So, the coordinates of point $L$ after dilation are $(15, 6)$.

Would you like further details or have any questions?

Here are 5 related questions:

1. What happens to the distance between the origin and a point after dilation?
2. How would the coordinates change if the scale factor was negative?
3. What is the effect of dilation on the shape of a polygon?
4. How do you dilate a point if the center of dilation is not the origin?
5. What is the relationship between the scale factor and the area of a shape after dilation?

Tip: When dilating a point, the origin remains fixed, and all other points move along the line that connects them to the origin, with their distances from the origin multiplied by the scale factor.