A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T. You must show all work to receive credit. (10 points)

Question

jhonyy9 · Answer

like a first step what mean this ratio of 2:1 ?

what is 1 for 2 ?

@supie

kshrewz · Answer

@johnyy9 it just means The ratio 2 to 1 is the simplest form of the ratio 4 to 2. And the ratios are equivalent, because the relationship between each pair of numbers is the same. For example, if we have a ratio 250 to 150, we can simplify it by dividing both numbers by 10 and then by 5 to get 5 to 3: 250 : 150 25 : 15 5:3 .

jhonyy9 · Answer

just say that 1 is a half part of 2 
so from this result that T will be the middle point of this segment - right ?

@Laylalyssa

Mercury · Answer

old question, answering to close

2:1 ratio divides the segment into 2/3 and 1/3 of its original length

therefore, to find the point that divides the segment into a 2:1 ratio, you need to find the 2/3 point along the line. Let's assume D is the left point and F is the right point, based on how they are positioned on the graph.

To find this point, find the 2/3 point in between the x-coordinates 1 and 7, as well as the 2/3 point in between the y-coordinates 1 and 4. put the two final coordinates together to get the 2/3 point