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# Distance between 2 points

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Given the points (3,7) and (-1, 3), find the slope of the line containing these 2 points, find the distance between these 2 points and find the midpoint.

https://brainmass.com/math/calculus-and-analysis/slope-other-various-characteristics-line-4182

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Given the points (3,7) and (-1, 3), find the slope of the line containing these 2 points, find the distance between these 2 points and find the midpoint.

Equation of a Line Through 2 points : (Y-Y1)/(Y1-Y2) = (X-X1)/(x1-x2)
: (Y-7)/(7-3)= (X-3)/(3-(-1))
: (Y-7)/4 = (X-3)/4
: Y-7 = X-3
: y = X + 4 -----equation of line.

Slope = X coefficient , therefore slope = 1

Distance = ((Y1-Y2)^2 + (X1-X2)^2)^.5
= (4^2 + 4^2)^.5
= 4*1.42
= 5.68

Mid Point = (X1+X2)/2 , (Y1+Y2)/2
(1,5)

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