Consider the points (3,11) and (-9,6) A. Determine the midpoint of the segment c

Question

Consider the points (3,11) and (-9,6) A. Determine the midpoint of the segment connecting these two points. Express the midpoint as an ordered pair (x, y). B. Determine the length of the segment connecting these two points. C. Find the slope of the line through these two points. D. Determine the equation, in slope-intercept form, of the line containing these points E. Determine the equation, in point-slope form, of the line containing these points. F. Determine the equation, in standard form, of the line containing these points.

Explanation / Answer

(3,11),(-9,6)

A.midpoint=((3-9)/2,(11+6)/2) = (-3, 8.5)

B. distance = sqrt((-9-3)2+(6-11)2) = sqrt(144+25)= 13

c. Slope = (6-11)/(-9-3)=5/12

D. y=mx+b

6=(5/12)(-9)+b

6=-3.75+b

b=9.75

y=(5/12)x-9.75

E. y=(5/12)x-9.75

5x-12y=117

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