Step 1
Pick two consecutive points and find the equation of a straight line.
(7,-1) and (5,0)
Equation of a straight line
y = mx + c
for (7,-1)
-1 = 7m + c ....................... equation 1
for (5,0)
0 = 5m + c ...................... equation 2
make c subject of relation from equation 2
c = -5m
Substitute c in equation 1
-1 = 7m - 5m
-1 = 2m
m = -1/2
c = -5(-1/2)
c = 5/2
[tex]y\text{ = }\frac{-1}{2}x\text{ + }\frac{5}{2}[/tex]
From the equation above, the table shows a linear function.
Every x input in the equation, give the correct y output.
