What is the equation in point-slope form of the line given (4,6),(5,7)?

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Answer 1 · 2018-03-06T05:40:51

#m=1#

Given -

#(4, 6); (5, 7)#

#x_1=4#
#y_1=6#
#x_2=5#
#y_2=7#

#m=(y_2-y_1)/(x_2-x_1)=(7-6)/(5-4)=1/1=1#

#m=1#

Answer 2 · 2018-03-06T05:44:31

#y - 6 = 1(x-4)#

or

#y - 7 = 1(x - 5)#

Point slope form is essentially:

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

#y_1# and #x_1# are coordinates given to you. They can either be 6 and 4 respectively, or 7 and 5 respectively. Pick your choice.

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

So, plug in coordinates for that.

#(7-6)/(5-4) = 1/1 = 1 = m#

Remember, the plain ol' y and x in the point slope form equation will be the actual variables, since functions need those guys to stick around.