How do you write the equation in slope intercept form given (4, 5), (2, 2)?

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Answer 1 · 2016-02-27T07:11:41

#y= 3/2x-1#

#(4,5)-= (x_1,y_1)#
#(2,2)-= (x_2,y_2)#

By two point form,

#(y-y_1)/(y_1-y_2)= (x-x_1)/(x_1-x_2)#

#(y-5)/(5-2) = (x-4)/ (4-2)#

#(y-5)/3=(x-4)/2#

#2(y-5)=3(x-4)#

#2y-10=3x-12#

#2y=3x-12+10#

#2y=3x-2#

Divide by 2

#y= 3/2x-1# is in slope-intercept form