fraction help algebra
posted by Elisa .
Write the equation passing through the points (9, 6 ) and (1, 5). The worksheet has multiple choice, so I know y intercept is either 39/10 or 39/10.
I have 11/10x plus b
then 11 (1) is 11
10(1) is 10
Then 5 plus 11/10
I change 5 to 15/10 but I'm getting 26/10.
What am I doing wrong?

Given P1(9, 6) and P2(1, 5)
If the line is not vertical, the line through the two points has a slope of
m=(y2y1)/(x2x1)
=(56)/(1(9)
=11/10
This should eliminate some of the choices.
To find the intercept, you can use
(yy1)=m(xx1)
y=(11/10)(x(9)+6
=(11/10)x  39/10
confirming one of your two options.