How do you find the y intercept of (5,7),(6,8)?

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Answer 1 · 2016-09-03T03:06:59

Intercept on #y#-axis is #2#.

Equation of the line joining #(x_1,y_1)# and #(x_2,y_2)# is given by

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

Hence equation of line joining #(5,7)# and #(6,8)# is

#(y-7)/(8-7)=(x-5)/(6-5)# or

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

#y-7=x-5# or #y=x+2#

As the equation is already in slope intercept form, slope of line is #1# and intercept on #y#-axis is #2#.