Question

what are the coordinates of point l?

Explanation:

Step1: Identify the original coordinates of point \( L \)

From the graph, the coordinates of point \( L \) are \( (2,4) \).

Step2: Apply the dilation formula

When a point \( (x,y) \) is dilated by a scale factor \( k \) with the center of dilation at the origin \( (0,0) \), the formula for dilation is \( (x',y')=(kx,ky) \). Here \( k = 2 \), \( x = 2 \), and \( y = 4 \).
So, \( x'=2\times2=4 \) and \( y'=2\times4 = 8 \).

Answer:

\((4,8)\)