What are the coordinates of the point on the directed line segment from k (-5,-4) to l (5,1) that portions the segment into ratio of 3 to 2

4) (1,-1)

Step-by-step explanation:

Let the points be

The formula for finding the coordinates of point that divides the line in a:b is:

Here x and y are the coordinates of the point that will partition the line into given ratios

Our ratio is 3 to 2,

So,

a=3

b=2

Putting the values in the formula

Hence, the correct answer is:

4) (1,-1) ..

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values