What is the Y intercept of the points (5,9) (6,7)?

1 Answer
Jul 21, 2016

19

Explanation:

I assume that you mean "What is the #Y# intercept of the line joining (5,9) and (6,7)?"

We start by writing down the equation of a straight line
#y= m x+c#
here #m# is the slope and #c# is the #Y# intercept.

Since (5,9) and (6,7) are on this line, we have

#9 = 5m+c#
#7 = 6m+c#

Subtracting,

#2 = -m#

Putting this back in any one of the equations, we get

#9 = 5 xx (-2) +c#

so that #c=19#.