SOLUTION: find a linear function,h, given h(-6)=32 and h(7)=20.

Algebra ->  Linear-equations -> SOLUTION: find a linear function,h, given h(-6)=32 and h(7)=20.      Log On


   



Question 442689: find a linear function,h, given h(-6)=32 and h(7)=20.
Found 2 solutions by swincher4391, robertb:
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
It may not look like it, but we have 2 points here.
(-6,32) (7,20). Let's find the slope.
%2820-32%29%2F%287%2B6%29+=+-12%2F13
Now we have a point and a slope.
Let's use (7,20) and m = (-12/13)
y-20+=+expr%28-12%2F13%29%2A%28x-7%29
y-20+=+expr%28-12%2F13%29x+%2B+expr%2884%2F13%29
highlight%28y+=+expr%28-12%2F13%29x+%2B+expr%28344%2F13%29%29

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Slope = %2832+-+20%29%2F%28-6-+7%29+=+12%2F%28-13%29+=+-12%2F13
==> y-32+=+%28-12%2F13%29%28x--6%29
<==> y+=+-12x%2F13+-+72%2F13+%2B+32, or
<==> h%28x%29+=+-12x%2F13+%2B+344%2F13