SOLUTION: segment AB with endpoints A=(-4,-6) AND b=(5,1) a.Find the midpoint of AB. b.Find the slope of the containing A and B c.Find AB please explain it step by step and how you got t

Question 698437: segment AB with endpoints A=(-4,-6) AND b=(5,1)
a.Find the midpoint of AB.
b.Find the slope of the containing A and B
c.Find AB
please explain it step by step and how you got the answer.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

midpoint will be

Solved by pluggable solver: To find midpoint of segment connecting two point

The Coordinates of mid point of a line segment joining two points can be calculated using following formulas.

X coordinate of mid point is

Y coordinate of mid point is

Hence, The mid point of segment joining two point (-4,-6) and (5,1) is (0.5,-2.5)

a. the midpoint of AB is at (,)

b.Find the slope
first find the equation of a line that passes through given points

Solved by pluggable solver: FIND EQUATION of straight line given 2 points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, -6) and (x2, y2) = (5, 1).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(0.777777777777778)x + (-2.88888888888889)

Your graph:

the slope is
or rounded

c.Find AB
first find the distance between and , it will be answer to c

Solved by pluggable solver: Distance between two points in two dimensions

The distance (denoted by d) between two points in two dimensions is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

so,

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