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?
{{{d^2 = diffy^2 + diffx^2}}}
{{{d^2 = (-1-6)^2 + (2 - (-3))^2 = 7^2 + 5^2}}}
d = sqrt(74)
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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)
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What is the slope of line AB?
Slope m = diffy/diffx = -7/5
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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
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What is the slope of the line perpendicular to line AB?
Not "the line", all lines.
The slope is the negative inverse, = +5/7
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What is the slope of the line parallel to line AB?
ALL lines parallel have the same slope. m = -7/5