Question

Segment GH is shown on the graph.

Answer 1

Answer: D) (–2.2, –1.2)

Explanation: to divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:

Δy=║-4-3║=7

Δx=║-1-(-4)║=3

Then we divide those differences by 5.

7/5=1.4

3/5=0.6

and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).

Px=-4+3*0.6=-2.2

Py=3-3*1.4=-1.2

so the coordinates of the point we are looking for (which I called "P") are:

P(-2.2, -1.2).