How do you write the equation in slope intercept form given (1,1):(3,2)?

1 Answer
Isini M.
Jun 9, 2017

#y=1/2x+1/2#

Explanation:

  • Algebraic form is #Ax+By=C# where #A, B# and #C# are constants that depend on the question.
  • Slope-intercept form is #y=mx+c# where #m# is the gradient and #(0,c)# is the #y#-intercept.

#m=(y_2-y_1)/(x_2-x_1)# for a line containing the points #(x_1,y_1)# and #(x_2,y_2)#.

For #(1,1)# and #(3,2)#,
#m=(2-1)/(3-1)#
#m=1/2#

Therefore, #y=1/2x+c#. To find c, substitute #(1,1)# into this equation.
#1=1/2×1+c#
#c+1/2=1#
#c=1/2#

Substitute #c# value back into equation,
#y=1/2x+1/2#

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