How do i calculate the slope of the line between (-2, -4) and (-10, 5)

3.

Step-by-step explanation:

When a figure with vertices (x,y) is dilated from the origin by a scale factor 'k' .

Then , the coordinates of the image is given by :-

Given : Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9).

From the graph , coordinates of AB are A(0,2) and B(2,3).

Let k be the scale factor then ,

Since A' is the image of point A.

Then,

Hence, the scale factor was 3.