SOLUTION: Given the points (-5,6) and (7,1) find the length and slope of the segment that connects them.

Question 316757: Given the points (-5,6) and (7,1) find the length and slope of the segment that connects them.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Length:

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

Take the square root of to get .

So our answer is

So the distance between the two points is 13 units.

So this means that the line segment is 13 units long.

Slope:

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

So the slope of the line that goes through the points

and

is

RELATED QUESTIONS
Find the midpoint coordinates of the segment that connects the following given points:... (answered by richard1234)

Find the midpoint coordinates of the segment that connects the following given points:(8, (answered by solver91311)

For the points (-1, 1) and (2, 5), find the distance d between the points and the... (answered by josgarithmetic,rothauserc)

Find the midpoint coordinates of the segment that connects the following given points... (answered by stanbon)

Find the midpoint coordinates of the segment that connects the following given points:... (answered by aliateach)

Given the points (2, 2) and (1, -4), please write the equation of the line in slope... (answered by mananth)

what is the midpoint of the line segment that connects the points 1,2 and... (answered by Alan3354)

Find the midpoint coordinates of the segment that connects the following given points: (answered by ewatrrr)

need help finding the distance between the points and the midpoint of the line segment... (answered by Fombitz)