SOLUTION: Write a linear function f with the values f(2)=4 and f(−7)=9

Algebra ->  Functions -> SOLUTION: Write a linear function f with the values f(2)=4 and f(−7)=9      Log On


   

Question 1147214: Write a linear function f with the values f(2)=4 and f(−7)=9
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given the points
( 2, 4 )
( -7, 9 )
Use the general point slope formula
+%28+y+-+4+%29+%2F+%28+x+-+2+%29+=+%28+9+-+4+%29+%2F+%28+-7+-+2+%29+
+%28+y+-+4+%29+%2F+%28+x+-+2+%29+=+5+%2F+%28+-9+%29+
+%28-9%29%2A%28+y+-+4+%29+=+5%2A%28+x+-+2+%29+
+-9y+%2B+36+=+5x+-+10+
+-9y+=+5x+-+46+
+y+=+%28+-5%2F9+%29%2Ax+%2B+46%2F9+
---------------------------------
check answer:
( 2,4 )
+4+=+%28+-5%2F9+%29%2A2+%2B+46%2F9+
+4+=+-10%2F9+%2B+46%2F9+
+4+=+36%2F9+
+4+=+4+
OK
and
( -7, 9 )
+9+=+%28-5%2F9%29%2A%28-7%29+%2B+46%2F9+
+9+=+35%2F9+%2B+46%2F9+
+9+=+81%2F9+
+9+=+9+
OK
Get a 2nd opinion if needed