How do you write an equation given (7,3) (3,7)?

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Answer 1 · 2016-03-04T01:48:10

#y = x - 4#

The formula for slope is #m =(y_2 - y_1)/(x_2-x_1)#

For the points #(7,3)# and #(3,7)# where
#x_1 = 7#
#y_1 =3#
#x_2 = 3#
#y_2 = 7#

#m =(y_2 - y_1)/(x_2-x_1)#

#m =(7 - 3)/(3-7)#

#m = 4/-4#

#m = -1#

To determine the equation of the line we can use the point slope formula and plug in the values given in the question.

#(y - y_1) = m(x - x_1)#

#m = 1#
#x_1 = 7#
#y_1 = 3#

#(y - 3) = 1(x - 7)#

#y - 3 = x - 7#

#y - 3 + 3 = x - 7 + 3#

#y = x - 4#