Line segment xy is a directed line segment beginning at point x(9, 2) and ending at point y(-6, 2). find the point z on the line segment that partitions the line segment into the segments xz and zy at a ratio of 5: 3.

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y.  That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8).  Our k value is 5/8.  Now we will find the rise and run values which is the slope of this line segment:

Coordinates are found in this formula:

Filling that in:

which simplifies to

which gives us the final coordinates of Z to be

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

mia khalifa

step-by-step explanation: