What is the equation of the line between #(3,-2)# and #(-5,1)#?

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What is the equation of the line between #(3,-2)# and #(-5,1)#?

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Answer 1 · 2015-11-19T10:45:38

A line equation is of the form #y=ax+b#. By substituting in the values from the two points, the equations can be solved by substitution to get the values of a and b

Explanation:

#-2 = a*3 + b#
Therefore #b = -2 -a*3#
#1 = a*-5 +b#
Therefore #b = 1 + a*5#
#-2 - 3*a = 1 + 5*a#
#8*a = -3#
#a = -3/8#
#b = -2 - (-3/8)*3#
#b = -2 +9/8#
#b = -7/8#
#y = (-3/8)*x + (-7/8)#
#8*y = -3*x - 7#

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What is the equation of the line between #(3,-2)# and #(-5,1)#?

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