SOLUTION: Find an equation for the linear function which has y-intercept 2 and x-intercept 7.

Algebra ->  Linear-equations -> SOLUTION: Find an equation for the linear function which has y-intercept 2 and x-intercept 7.       Log On


   

Question 1052165: Find an equation for the linear function which has y-intercept 2 and x-intercept 7.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Start with a generic equation,
ax%2Bby=1
So when, x=0, y=2,
a%280%29%2Bb%282%29=1
b=1%2F2
and
when y=0, x=7
a%287%29%2Bb%280%29=1
a=1%2F7
So then,
x%2F7%2Bb%2F2=1
2x%2B7y=14
or any multiple of that equation,
%282%2Aalpha%29x%2B%287%2Aalpha%29y=14%2Aalpha
where alpha is any non-zero real number.