SOLUTION: Using the points A (-3, 6) and (2, -1), find each of the following. All equations should be stated in Ax+By+C=0 form. A is a natural number (1,2,3,...). B and C are integers. W

Question 331056: Using the points A (-3, 6) and (2, -1), find each of the following. All equations should be stated in Ax+By+C=0 form. A is a natural number (1,2,3,...). B and C are integers.
What is the length of segment AB?
What is the midpoint of segment AB?
What is the slope of line AB?
What is the equation of line AB?
What is the slope of the line perpendicular to line AB?
What is the slope of the line parallel to line AB?
Please help, I need to know how to solve this problem! Please!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Using the points A (-3, 6) and (2, -1), find each of the following. All equations should be stated in Ax+By+C=0 form. A is a natural number (1,2,3,...). B and C are integers.
What is the length of segment AB?

d = sqrt(74)
----------------
What is the midpoint of segment AB?
Find the average of x and y separately.
x: (-3+2)/2 = -1/2
y: (6-1)/2 = 5/2
Midpoint @ (-1/2,5/2)
-----------------------
What is the slope of line AB?
Slope m = diffy/diffx = -7/5
------------------------------
What is the equation of line AB?
Use y = mx + b and either point. Using (2,-1)
-1 = (-7/5)*2 + b
b = 9/5
--> y = (-7/5)x + 9/5
7x + 5y - 9 = 0
----------------
What is the slope of the line perpendicular to line AB?
Not "the line", all lines.
The slope is the negative inverse, = +5/7
-------------------------------------
What is the slope of the line parallel to line AB?
ALL lines parallel have the same slope. m = -7/5

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