SOLUTION: Can you find an equation of a linear function given h(1)=6 and h(4)=-3? I tried making a table showing what x value goes to what y value (1 to 6, 2 to 3, 3 to 0, 4 to -3, and 5

Algebra ->  Linear-equations -> SOLUTION: Can you find an equation of a linear function given h(1)=6 and h(4)=-3? I tried making a table showing what x value goes to what y value (1 to 6, 2 to 3, 3 to 0, 4 to -3, and 5       Log On


   

Question 1124843: Can you find an equation of a linear function given h(1)=6 and h(4)=-3?
I tried making a table showing what x value goes to what y value (1 to 6, 2 to 3, 3 to 0, 4 to -3, and 5 to -6. I have no idea what to do next though.
Thanks in advance.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
You already have two points. That is all you need. Find the equation and you can then use it to get any other points. OR you can use your two GIVEN points , calculate slope, and find any other points you want.

POINTS (1,6) and (4, -3)
FIND EQUATION OF THE LINE
y-6=%28%28-3-6%29%2F%284-1%29%29%28x-1%29
y-6=%28-9%2F3%29%28x-1%29
y-6=-3%28x-1%29
y=-3x%2B3%2B6
y=-3x%2B9
highlight%28h%28x%29=-3x%2B9%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation is
+y+=+m%2Ax+%2B+b+
( 1, 6 )
+6+=+m%2A1+%2B+b+
( 4, -3 )
+-3+=+m%2A4+%2B+b+
———————————
+m+%2B+b+=+6+
+4m+%2B+b+=+-3+
Use subtraction
+3m+=+-9+
+m+=+-3+
And
+-3+%2B+b+=+6+
+b+=+9+
—————————-
The equation is:
+y+=+-3x+%2B+9+