QuestionFind point that divides segment with endpoints (6, 16) in ratio 4:1 and (-9, 6) in ratio 1:4.
Studdy Solution
STEP 1
Assumptions1. The endpoints of the line segment are given.
. We need to find the coordinates of the point $$ that partitions the segment in the given ratio.
Let's start with problem15.
STEP 2
The formula to find the coordinate of a point that divides a line segment in a given ratio iswhere and are the coordinates of the endpoints, and is the given ratio.
STEP 3
For problem15, the endpoints are6 and16, and the ratio is1. Plug these values into the formula.
STEP 4
Perform the multiplication in the numerator.
STEP 5
Add the values in the numerator.
STEP 6
Divide the numerator by the denominator to find the coordinate of point $$.
For problem15, the coordinate of point $$ is14.
Now, let's solve problem16.
STEP 7
For problem16, the endpoints are -9 and6, and the ratio is14. Plug these values into the formula.
STEP 8
Perform the multiplication in the numerator.
STEP 9
Subtract the values in the numerator.
STEP 10
Divide the numerator by the denominator to find the coordinate of point $$.
For problem16, the coordinate of point $$ is -6.
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